The mathematical work of K. S. S. Nambooripad. (English) Zbl 1540.20002
Romeo, P. G. (ed.) et al., Semigroups, categories, and partial algebras. ICSAA 2019. Proceedings of the conference, Kochi, India, December 9–12, 2019. Singapore: Springer. Springer Proc. Math. Stat. 345, 107-140 (2021).
Summary: We provide an overview of the mathematical work of K. S. S. Nambooripad, with a focus on his contributions to the theory of regular semigroups. In particular, we outline Nambooripad’s seminal contributions to the structure theory of regular semigroups via his theory of inductive groupoids, and also via his theory of cross- connections. We also provide information about outgrowths of his work in the algebraic theory of semigroups and its connections with several other fields of mathematics, in particular with the theory of operator algebras.
For the entire collection see [Zbl 1470.20003].
For the entire collection see [Zbl 1470.20003].
MSC:
| 20-03 | History of group theory |
| 20M17 | Regular semigroups |
| 20M50 | Connections of semigroups with homological algebra and category theory |
| 01A70 | Biographies, obituaries, personalia, bibliographies |
Biographic References:
Nambooripad, K. S. S.References:
| [1] | Nambooripad, K.S.S.: Group lattices. Centre for Mathematical Sciences, Trivandrum, Publication Number 27, pp. 31-76 (1994) · Zbl 0844.20046 |
| [2] | Pastijn, F.: Biordered sets and complemented modular lattices. Semigroup Forum 21, 205-220 (1980) · Zbl 0449.20067 · doi:10.1007/BF02572551 |
| [3] | Pastijn, F.: The biorder on the partial groupoid of idempotents of a semigroup. J. Algebra 65, 147-187 (1980) · Zbl 0449.20064 · doi:10.1016/0021-8693(80)90244-6 |
| [4] | Pastijn, F., Petrich, M.: Straight locally inverse semigroups. Proc. Lond. Math. Soc. 3(49), 307-328 (1984) · Zbl 0519.20041 · doi:10.1112/plms/s3-49.2.307 |
| [5] | Premchand, S.: Semigroup of stochastic matrices. Ph.D. Thesis, University of Kerala (1985) |
| [6] | Premchand, S.: Independence of axioms for biordered sets. Semigroup Forum 28, 249-263 (1984) · Zbl 0533.20028 · doi:10.1007/BF02572487 |
| [7] | Putcha, M.S.: Products of idempotents in algebraic monoids. J. Aust. Math. Soc. 80, 193-203 (2006) · Zbl 1102.20043 · doi:10.1017/S1446788700013070 |
| [8] | Rajan, A.R.: Structure of combinatorial regular semigroups. Ph.D. Thesis, University of Kerala (1981) |
| [9] | Rajan, A.R.: Topological regular semigroups and topologicial inductive groupoids. Semigroup Forum, 160-167 (1993) · Zbl 0909.22004 |
| [10] | Rajan, A.R.: Normal categories of inverse semigroups. East-West J. Math. 16(2), 122-130 (2015) · Zbl 1333.20058 |
| [11] | Rajan, A.R.: Inductive groupoids and normal categories of regular semigroups. In: Proceedings International conference at Aligarh Muslim University, De Gruyter, pp. 193-200 (2018) · Zbl 1404.18008 |
| [12] | Rajendran, D.: Cross connection of linear transformation semigroups. Ph.D. Thesis, University of Kerala (1995) |
| [13] | Rajendran, D., Nambooripad, K.S.S.: Bilinear forms and the semigroup of linear transformations. Southeast Asian Bull. Math. 24, 609-616 (2000) · Zbl 1053.20057 · doi:10.1007/s10012-000-0263-7 |
| [14] | Rajendran, D., Nambooripad, K.S.S.: Cross connections of bilinear form semigroups. Semigroup Forum 61, 249-262 (2000) · Zbl 0960.20039 · doi:10.1007/PL00006022 |
| [15] | Romeo, P.G.: Cross connections of concordant semigroups. Ph.D. Thesis, University of Kerala (1993) |
| [16] | Schein, B.M.: On the theory of generalized groups and generalized heaps. In: Theory of semigroups and its applications I, pp. 286-324. Saratov State University, Saratov (1965). (in Russian) |
| [17] | Schein, B.M.: Pseudosemilattices and pseudolattices. Izv. Vyss. Ucebn. Zaved. Matematika 2, 81-94 (1972). (in Russian) · Zbl 0502.06001 |
| [18] | Sunder, V.S.: An Invitation to von Neumann Algebras. Springer, New York (1979) · Zbl 0616.46052 |
| [19] | Szendrei, M.B.: Almost factorizable locally inverse semigroups. Int. J. Algebra Comp. 21, 1037-1052 (2011) · Zbl 1246.20052 · doi:10.1142/S0218196711006832 |
| [20] | Valanthara, S.: The semigroup of finite rank operators. Ph.D. Thesis, University of Kerala (2002) · Zbl 0732.47039 |
| [21] | Veeramony, R.: Subdirect products of regular semigroups. Ph.D. Thesis, University of Kerala (1981) · Zbl 0517.20038 |
| [22] | Veeramony, R.: Proper pseudo-inverse semigroups. Simon Stevin 58, 65-86 (1984) · Zbl 0568.20060 |
| [23] | von Neumann, J.: Continuous Geometry. Princeton University Press, Princeton (1960) · Zbl 0171.28003 |
| [24] | Putcha, M.S.: Linear Algebraic Monoids. London Mathematical Society Lecture Note Series, vol. 133. Cambridge University Press, Cambridge (1988) · Zbl 0647.20066 |
| [25] | Grillet, P.A.: Structure of regular semigroups I, II, III and IV. Semigroup Forum 8, 177-183, 254-259, 260-265, 368-373 (1974) · Zbl 0298.20050 |
| [26] | Gray, R., Ruskuc, N.: Maximal subgroups of free idempotent generated semigroups over the full transformation monoid. Proc. Lond. Math. Soc. 3(104), 997-1018 (2012) · Zbl 1254.20054 · doi:10.1112/plms/pdr054 |
| [27] | Gould, V., Wang, Y.: Beyond orthodox semigroups. J. Algebra 368, 209-230 (2012) · Zbl 1275.20067 · doi:10.1016/j.jalgebra.2012.06.012 |
| [28] | Armstrong, S.: Structure of concordant semigroups. J. Algebra 118(1), 205-260 (1988) · Zbl 0653.20064 · doi:10.1016/0021-8693(88)90057-9 |
| [29] | Auinger, K.: The free pseudo-semilattice on a set. Contributions to general algebra, vol. 9, pp. 37-48. Hölder-Pichler-Tempsky, Vienna (1995) · Zbl 0884.06002 |
| [30] | Auinger, K.: The bifree locally inverse semigroup on a set. J. Algebra 166(3), 630-650 (1994) · Zbl 0806.20052 · doi:10.1006/jabr.1994.1169 |
| [31] | Auinger, K., Oliveira, L.: On the variety of strict pseudosemilattices. Studia Sci. Math. Hungar. 50, 207-241 (2013) · Zbl 1299.06034 |
| [32] | Azeef Muhammed, P.A.: Cross-connections of linear transformation semigroups. Semigroup Forum 97(3), 457-470 (2018) · Zbl 1451.18012 · doi:10.1007/s00233-018-9942-5 |
| [33] | Azeef Muhammed, P.A.: Cross-connections and variants of the full transformation semigroup. Acta Sci. Math. (Szeged) 84(3-4), 377-399 (2018) · Zbl 1424.20077 · doi:10.14232/actasm-017-044-z |
| [34] | Azeef Muhammed, P.A., Rajan, A.R.: Cross-connections of completely simple semigroups. Asian-European J. Math. 09(03), 1650053 (2016) · Zbl 1378.20059 · doi:10.1142/S1793557116500534 |
| [35] | Azeef Muhammed, P.A., Rajan, A.R.: Cross-connections of the singular transformation semigroup. J. Algebra Appl. 17(3), 1850047 (2018) · Zbl 1486.20079 · doi:10.1142/S0219498818500470 |
| [36] | Azeef Muhammed, P.A., Romeo, P.G., Nambooripad, K.S.S.: Cross-connection structure of concordant semigroups. Int. J. Algebra Comput. 30(1), 181-216 (2020) · Zbl 1452.20055 |
| [37] | Azeef Muhammed, P.A., Volkov, M.V.: Inductive groupoids and cross-connections of regular semigroups. Acta Math. Hungar. 157(1), 80-120 (2019) · Zbl 1438.20063 · doi:10.1007/s10474-018-0888-6 |
| [38] | Azeef Muhammed, P.A., Volkov, M.V.: The tale of two categories: Inductive groupoids and cross-connections (2019). arXiv:1901.05731 · Zbl 1438.20063 |
| [39] | Azeef Muhammed, P.A., Volkov, M.V., Auinger, K.: Cross-connection structure of locally inverse semigroups (2020). arXiv:1912.00214 |
| [40] | Billhardt, B., Szendrei, M.B.: Weakly E-unitary locally inverse semigroups. J. Algebra 267, 559-576 (2003) · Zbl 1033.20075 · doi:10.1016/S0021-8693(03)00395-8 |
| [41] | Brittenham, M., Margolis, S., Meakin, J.: Subgroups of free idempotent generated semigroups need not be free. J. Algebra 321, 3026-3042 (2009) · Zbl 1177.20064 · doi:10.1016/j.jalgebra.2008.12.017 |
| [42] | Brittenham, M., Margolis, S., Meakin, J.: Subgroups of free idempotent generated semigroups: full linear monoids (2010). arXiv:1009.5683 · Zbl 1177.20064 |
| [43] | Byleen, K., Meakin, J., Pastijn, F.: The fundamental four-spiral semigroup. J. Algebra 54(1), 6-26 (1978) · Zbl 0394.20049 · doi:10.1016/0021-8693(78)90018-2 |
| [44] | Radhakrishnan Chettiar, S.: A study on extensions of regular semigroups. Ph.D. Thesis, University of Kerala (1996) |
| [45] | Clifford, A.H.: The partial groupoid of idempotents of a regular semigroup. Semigroup Forum 10, 262-268 (1975) · Zbl 0299.20045 · doi:10.1007/BF02194893 |
| [46] | Clifford, A.H.: The fundamental representation of a completely regular semigroup. Semigroup Forum 12, 341-346 (1976) · Zbl 0345.20060 · doi:10.1007/BF02195940 |
| [47] | Clifford, A.H., Preston, G.B.: The Algebraic Theory of Semigroups, vol. 1. American Mathematical Society, Providence (1961); vol. 2, Issue 7 of Mathematical surveys (1967) · Zbl 0111.03403 |
| [48] | Dixmier, J.: von Neumann Algebras. North Holland, New York (1981) · Zbl 0473.46040 |
| [49] | Dolinka, I.: A note on free idempotent generated semigroups over bands. Period. Math. Hungar. 65, 97-105 (2012) · Zbl 1269.20050 · doi:10.1007/s10998-012-2776-0 |
| [50] | Dolinka, I.: A note on free idempotent generated semigroups over the full monoid of partial transformations. Commun. Algebra 41, 565-573 (2013) · Zbl 1267.20091 · doi:10.1080/00927872.2011.607875 |
| [51] | Dolinka, I.: Free idempotent generated semigroups: the word problem and structure via gain graphs (2019) |
| [52] | Dolinka, I., East, J.: Variants of finite full transformation semigroups. Int. J. Algebra Comput. 25(08), 1187-1222 (2015) · Zbl 1338.20057 · doi:10.1142/S021819671550037X |
| [53] | Dolinka, I., East, J.: Semigroups of rectangular matrices under a sandwich operation. Semigroup Forum 96, 253-300 (2017) · Zbl 1414.20021 · doi:10.1007/s00233-017-9873-6 |
| [54] | Dolinka, I., Gray, R.D.: Maximal subgroups of free idempotent generated semigroups of the full linear monoid. Trans. Amer. Math. Soc. 366, 419-455 (2014) · Zbl 1297.20059 · doi:10.1090/S0002-9947-2013-05864-3 |
| [55] | Dolinka, I., Gray, R., Ruskuc, N.: On regularity and the word problem for free idempotent generated semigroups. Proc. Lond. Math. Soc. 3(114), 401-432 (2017) · Zbl 1434.20039 · doi:10.1112/plms.12011 |
| [56] | Dolinka, I., Gould, V., Yang, D.: Free idempotent generated semigroups and endomorphism monoids of free \(G\)-acts (2014). arXiv:1402.4042 · Zbl 1341.20057 |
| [57] | Dolinka, I., Gould, V., Yang, D.: A group-theoretical interpretation of the word problem for free idempotent generated semigroups. Adv. Math. 345, 998-1041 (2019) · Zbl 1504.20056 · doi:10.1016/j.aim.2019.01.037 |
| [58] | Dolinka, I., Ruskuc, N.: Every group is a maximal subgroup of the free idempotent generated semigroup over a band. Inter. J. Algebra Comp. 23, 573-581 (2013) · Zbl 1281.20068 · doi:10.1142/S0218196713500100 |
| [59] | Ehresmann, C.: Catégories inductives et pseudogroupes. Annales de l’Institut Fourier, Grenoble 10, 307-336 (1960) · Zbl 0099.26002 · doi:10.5802/aif.104 |
| [60] | Easdown, D.: Biordered sets come from semigroups. J. Algebra 96, 581-591 (1985) · Zbl 0602.20055 · doi:10.1016/0021-8693(85)90028-6 |
| [61] | Easdown, D.: Biordered sets of bands 29, 241-246 (1984) · Zbl 0543.20043 |
| [62] | Easdown, D.: Biordered sets of eventually regular semigroups. Proc. Lond. Math. Soc. 49, 483-503 (1984) · Zbl 0568.20059 · doi:10.1112/plms/s3-49.3.483 |
| [63] | Easdown, D.: Biorder-preserving coextensions of fundamental semigroups. Proc. Edinburgh Math. Soc. 31, 463-467 (1988) · Zbl 0619.20043 · doi:10.1017/S0013091500037652 |
| [64] | Easdown, D., Hall, T.E.: Reconstructing some idempotent-generated semigroups from their biordered sets. Semigroup Forum 29, 207-216 (1984) · Zbl 0548.20045 · doi:10.1007/BF02573325 |
| [65] | Erdos, J.A.: On products of idempotent matrices. Glasgow Math. J. 8, 118-122 (1967) · Zbl 0157.07101 · doi:10.1017/S0017089500000173 |
| [66] | Fillmore, P.A.: A User’s Guide to Operator Algebras. Wiley, New York (1996) · Zbl 0853.46053 |
| [67] | FitzGerald, D.G.: On inverses of products of idempotents in regular semigroups. J. Aust. Math. Soc. 15(1), 335-337 (1972) · Zbl 0244.20079 · doi:10.1017/S1446788700013756 |
| [68] | Geetha, K.: Semigroup of singular matricess. Ph.D. Thesis, University of Kerala (1995) |
| [69] | Geetha, K., Nambooripad, K.S.S.: The semigroup of singular endomorphisms. Semigroup Forum 61, 224-248 (2000) · Zbl 0961.20050 · doi:10.1007/PL00006021 |
| [70] | Gomes, G.M., Gould, V.: Fundamental Ehresmann semigroups. Semigroup Forum 63(1), 11-33 (2001) · Zbl 0998.20051 · doi:10.1007/s002330010054 |
| [71] | Goodearl, K.R.: von Neumann regular rings. Pitman Publishing Limited, London (1979) · Zbl 0411.16007 |
| [72] | Gould, V.: Restriction and Ehresmann semigroups. In: Proceedings of the International Conference on Algebra 2010: Advances in Algebraic Structures, pp. 265-288. World Scientific, Singapore (2011) · Zbl 1264.20067 |
| [73] | Gould, V., Yang, D.: Every group is a maximal subgroup of a naturally occurring free idempotent generated semigroup. Semigroup Forum 89, 125-134 (2014) · Zbl 1320.20053 · doi:10.1007/s00233-013-9549-9 |
| [74] | Gould, V., Yang, D.: Free idempotent generated semigroups over bands and biordered sets with trivial products. Inter. J. Algebra Comp. 26, 473-517 (2016) · Zbl 1355.20044 · doi:10.1142/S021819671650020X |
| [75] | Gray, R., Ruskuc, N.: On maximal subgroups of free idempotent generated semigroups. Israel J. Math. 189, 147-176 (2012) · Zbl 1276.20063 · doi:10.1007/s11856-011-0154-x |
| [76] | Hollings, C.: From right PP-monoids to restriction semigroups: a survey. Eur. J. Pure Appl. Math. 2(1), 21-57 (2009) · Zbl 1214.20056 |
| [77] | Hollings, C.: The Ehresmann-Schein-Nambooripad theorem and its successors. Eur. J. Pure Appl. Math. 5(4), 414-450 (2012) · Zbl 1389.20078 |
| [78] | Higgins, P.: Notes on Categories and Groupoids, vol. 32. Mathematical Studies. Van Nostrand Reinhold Company, London (1971) · Zbl 0226.20054 |
| [79] | Howie, J.M.: Fundamentals of Semigroup Theory. London Mathematical Society Monographs. Oxford University Press, Oxford (1996) · Zbl 0835.20077 |
| [80] | Howie, J.M.: The subsemigroup generated by the idempotents of a full transformation semigroup. J. Lond. Math. Soc. 41, 707-716 (1966) · Zbl 0146.02903 · doi:10.1112/jlms/s1-41.1.707 |
| [81] | Kadourek, J.: On some existence varieties of locally inverse semigroups. Int. J. Algebra Comp. 6, 761-788 (1996) · Zbl 0880.20041 · doi:10.1142/S0218196796000441 |
| [82] | Krishnachandran, V.N.: The topology and geometry of the biordered set of idempotent matrices. Ph.D. Thesis, University of Kerala (2001) |
| [83] | Krishnachandran, V.N., Nambooripad, K.S.S.: Geometry of the biordered set of idempotent endomorphisms. Southeast Asian Bull. Math. 27, 99-112 (2003) · Zbl 1054.20045 |
| [84] | Krishnan, E.: The semigroup of Fredholm operators. Ph.D. Thesis, University of Kerala (1990) |
| [85] | Krishnan, E., Nambooripad, K.S.S.: The semigroup of Fredholm operators. Forum Math. 5, 313-368 (1993) · Zbl 0803.47017 · doi:10.1515/form.1993.5.313 |
| [86] | Krishnan, E., Valanthara, S.: Semigroup of finite rank operators. Bull. Calcutta Math. Soc. 82, 223-240 (1990) · Zbl 0732.47039 |
| [87] | Krishnan, E., Valanthara, S.: Topological Rees matrix semigroups. In: P.G. Romeo et al. (eds.) Semigroups, Algebras and Operator Theory. Springer Proceedings in Mathematics and Statistics, vol. 142, pp. 89-103 (2015) · Zbl 1327.22005 |
| [88] | Krishnachandran, V.N., Nambooripad, K.S.S.: Topology of the semigroup of singular endomorphisms. Semigroup Forum 61, 224-248 (2000) · Zbl 0961.20050 · doi:10.1007/PL00006021 |
| [89] | Lallement, G.: Demi-groupes reguliers. Ann. Mat. Pura Appl. Bologna 77, 47-130 (1967) · Zbl 0186.03302 · doi:10.1007/BF02416940 |
| [90] | Lawson, M.V.: Semigroups and ordered categories. I. The reduced case. J. Algebra 141(2), 422-462 (1991) · Zbl 0747.18007 · doi:10.1016/0021-8693(91)90242-Z |
| [91] | Lawson, M.V.: Enlargements of regular semigroups. Proc. Edinb. Math. Soc. (2) 39(03), 425-460 (1996) · Zbl 0862.20047 |
| [92] | Lawson, M.V.: Inverse Semigroups: The Theory of Partial Symmetries. World Scientific Pub. Co., Inc., Singapore (1998) · Zbl 1079.20505 · doi:10.1142/3645 |
| [93] | Lawson, M.V.: Ordered groupoids and left cancellative categories. Semigroup Forum 68(3), 458-476 (2004) · Zbl 1053.18001 · doi:10.1007/s00233-003-0024-x |
| [94] | Lukose, S., Rajan, A.R.: Ring of normal cones. Indian J. Pure Appl. Math. 41(5), 663-681 (2010) · Zbl 1230.18007 · doi:10.1007/s13226-010-0038-5 |
| [95] | MacLane, S.: Categories for the Working Mathematician, Volume 5 of Graduate Texts in Mathematics. Springer, New York (1971) · Zbl 0705.18001 |
| [96] | McAlister, D.B.: Rees matrix covers for locally inverse semigroups. Trans. Amer. Math. Soc. 277, 727-738 (1983) · Zbl 0516.20039 · doi:10.1090/S0002-9947-1983-0694385-3 |
| [97] | Meakin, J.: On the structure of inverse semigroups. Semigroup Forum 12, 6-14 (1976) · Zbl 0325.20062 · doi:10.1007/BF02195904 |
| [98] | Meakin, J.: The structure mappings on a regular semigroup. Proc. Edinburgh Math. Soc. 21, 135-142 (1978) · Zbl 0394.20046 · doi:10.1017/S0013091500016096 |
| [99] | Meakin, J.: Local semilattices on two generators. Semigroup Forum 24, 95-116 (1982) · Zbl 0489.20049 · doi:10.1007/BF02572763 |
| [100] | Meakin, J.: The free local semilattice on a set. J. Pure Appl. Algebra 27, 263-275 (1983) · Zbl 0508.20031 · doi:10.1016/0022-4049(83)90019-1 |
| [101] | Meakin, J., Nambooripad, K.S.S.: Coextensions of pseudo-inverse semigroups by rectangular bands. J. Aust. Math. Soc. 30, 73-86 (1980) · Zbl 0449.20063 · doi:10.1017/S1446788700021935 |
| [102] | Meakin, J., Pastijn, F.: The structure of pseudo-semilattices. Algebra Univ. 13, 355-372 (1981) · Zbl 0484.20028 · doi:10.1007/BF02483846 |
| [103] | Meakin, J., Pastijn, F.: The free pseudo-semilattice on two generators. Algebra Univ. 14, 297-309 (1982) · Zbl 0495.20030 · doi:10.1007/BF02483934 |
| [104] | Meakin, J., Rajan, A.R.: Tribute to K.S.S. Nambooripad. Semigroup Forum 91(2), 299-304 (2015) · Zbl 1331.01026 |
| [105] | Munn, W.D.: Fundamental inverse semigroups. Quart. J. Math. (Oxford) Series 2 21, 157-170 (1970) · Zbl 0219.20047 |
| [106] | Nambooripad, K.S.S.: Structure of regular semigroups. Doctoral Dissertation, University of Kerala (1973) |
| [107] | Nambooripad, K.S.S.: Relations between cross-connections and biordered sets. Semigroup Forum 16, 67-82 (1978) · Zbl 0389.20053 · doi:10.1007/BF02194614 |
| [108] | Nambooripad, K.S.S.: Structure of regular semigroups 1. Memoirs. Amer. Math. Soc. 22, Number 224 (1979) · Zbl 0445.20034 |
| [109] | Nambooripad, K.S.S.: Structure of Regular Semigroups. II. Cross-connections. Centre for Mathematical Sciences. Publication No. 15 (1989) · Zbl 0707.20019 |
| [110] | Nambooripad, K.S.S.: Theory of Cross-connections. Centre for Mathematical Sciences. Publication No. 28 (1994) · Zbl 0844.20046 |
| [111] | Nambooripad, K.S.S.: The natural partial order on a regular semigroup. Proc. Edinburgh Math. Soc. 23, 249-260 (1980) · Zbl 0459.20054 · doi:10.1017/S0013091500003801 |
| [112] | Nambooripad, K.S.S.: Pseudo-semilattices and biordered sets I. Simon Stevin 55(3), 103-110 (1981) · Zbl 0467.06003 |
| [113] | Nambooripad, K.S.S.: Pseudo-semilattices and biordered sets II: pseudo-inverse semigroups. Simon Stevin 56(3), 143-159 (1982) · Zbl 0496.20044 |
| [114] | Nambooripad, K.S.S.: Regular elements in von Neumann algebras. In: Romeo, P.G., et. al. (eds.) Semigroups, Algebras and Operator Theory. Springer Proceedings in Mathematics and Statistics, vol. 142, pp. 39-45 (2015) · Zbl 1323.47047 |
| [115] | Nambooripad, K.S.S.: von Neumann algebra. Unpublished personal communication |
| [116] | Nambooripad, K.S.S.: Group-lattices and semigroups. In: Hall et. al. (ed.) Monash Conference on Semigroup Theory, pp. 224-245. World Scientific, Singapore (1991) · Zbl 1038.20520 |
| [117] | Nambooripad, K.S.S.: Cross-connections. In: Proceedings of the International Symposium on Semigroups and Applications, Thiruvananthapuram, pp. 1-25 (2007) · Zbl 1181.20060 |
| [118] | Nambooripad, K.S.S.: Cross-connections (2014). http://www.sayahna.org/crs/ |
| [119] | Nambooripad, K.S.S., Pastijn, F.: Subgroups of free idempotent generated regular semigroups. Semigroup Forum 21, 1-7 (1980) · Zbl 0449.20061 · doi:10.1007/BF02572533 |
| [120] | Nambooripad, K.S.S., Pastijn, F.: The fundamental representation of a strongly Baer regular semigroup. J. Algebra 92, 283-302 (1985) · Zbl 0555.20041 · doi:10.1016/0021-8693(85)90121-8 |
| [121] | McElwee, B.: Subgroups of the free semigroup on a biordered set in which the principal ideals are singletons. Comm. Algebra 30(11), 5513-5519 (2002) · Zbl 1017.20048 · doi:10.1081/AGB-120015667 |
| [122] | Oliveira, L.: The free idempotent generated locally inverse semigroup. Semigroup Forum 96, 452-473 (2018) · Zbl 1456.20068 · doi:10.1007/s00233-017-9882-5 |
| [123] | Pastijn, F.: The structure of pseudo-inverse semigroups. Trans. Amer. Math. Soc. 273, 631-655 (1982) · Zbl 0512.20042 · doi:10.1090/S0002-9947-1982-0667165-1 |
| [124] | Wang, S.: An Ehresmann-Schein-Nambooripad-type theorem for a class of P-restriction semigroups. Bull. Malays. Math. Sci. Soc. 42, 535-568 (2017) · Zbl 1474.20113 · doi:10.1007/s40840-017-0497-5 |
| [125] | Wang, Y.: Beyond regular semigroups. Semigroup Forum 92(2), 414-448 (2016) · Zbl 1360.20054 · doi:10.1007/s00233-015-9714-4 |
| [126] | Radhakrishnan, C.V.: KSSN: a venerable silent mathematician, Blue Danube. http://www.cvr.cc/?p=411 |
| [127] | Hall, T.E.: On regular semigroups. J. Algebra 24(1), 1-24 (1973) · Zbl 0262.20074 · doi:10.1016/0021-8693(73)90150-6 |
| [128] | Gould, V., Hollings, C.: Restriction semigroups and inductive constellations. Comm. Algebra 38(1), 261-287 (2009) · Zbl 1251.20062 · doi:10.1080/00927870902887096 |
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