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Subdirectly irreducible distributive double p-algebras. (English) Zbl 0381.06019


MSC:

06D99 Distributive lattices
Full Text: DOI

References:

[1] R. Beazer,The determination congruence on double p-algebras, Algebra Univ.6 (1976), 121–129. · Zbl 0353.06002 · doi:10.1007/BF02485824
[2] G. Grätzer,Universal algebra, Van Nostrand, Princeton N.J., 1968.
[3] G. Grätzer,Lattice theory. First concepts and distributive lattices, Freeman and Co., San Francisco, 1971. · Zbl 0232.06001
[4] T. Katriňák,The structure of distributive double p-algebras. Regularity and congruences, Algebra Univ.3 (1973), 238–246. · Zbl 0276.08005 · doi:10.1007/BF02945123
[5] T. Katriňák,Injective double Stone algebras, Algebra Univ.4 (1974), 259–267. · Zbl 0302.06022 · doi:10.1007/BF02485733
[6] T. Katriňák,Congruence extension property for distributive double p-algebras, Algebra Univ.4 (1974), 273–276. · Zbl 0316.06007 · doi:10.1007/BF02485737
[7] H. Lakser,The structure of pseudocomplemented distributive lattices. I.Subdirect decomposition, Trans. Amer. Math. Soc.156 (1971), 334–342. · Zbl 0244.06010
[8] K. B. Lee,Equational classes of distributive pseudo-complemented lattices, Cand. J. Math.22 (1970), 881–891. · Zbl 0244.06009 · doi:10.4153/CJM-1970-101-4
[9] H. Priestley,Representation of distributive lattices by means of ordered Stone spaces, Bull. London Math. Soc.2 (1970), 186–190. · Zbl 0201.01802 · doi:10.1112/blms/2.2.186
[10] H. Priestley,Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc. (Ser. 3)24 (1972), 507–530. · Zbl 0323.06011 · doi:10.1112/plms/s3-24.3.507
[11] H. Priestley,Stone lattices: a topological approach, Fund. Math.84 (1974), 127–143. · Zbl 0323.06012
[12] H. Priestley,The construction of spaces dual to pseudocomplemented distributive lattices, Quart. J. Math. Oxford Ser. (2)26 (1975), 215–228. · Zbl 0323.06013 · doi:10.1093/qmath/26.1.215
[13] T. P. Speed,Some remarks on a class of distributive lattices, J. Austral. Math. Soc.9 (1969), 289–296. · Zbl 0175.01303 · doi:10.1017/S1446788700007205
[14] T. P. Speed,Two congruences on distributive lattices, Bull. Soc. Roy. Sc. Liège38 (1969), 86–95. · Zbl 0176.28504
[15] J. Varlet,Contribution à l’étude des treillis pseudo-complémentés et des treillis de Stone, Mémoires Soc. Roy. Sc. Liège8 (1963), 1–71. · Zbl 0113.01803
[16] J. Varlet,A generalization of the notion of pseudo-complementedness, Bull. Soc. Roy. Sc. Liège36 (1968), 149–158. · Zbl 0162.03501
[17] J. Varlet,Algèbras de Łukasiewicz trivalent, Bull. Soc. Roy. Sc. Liège36 (1968), 281–290.
[18] J. Varlet,A regular variety of type <2, 2, 1, 1, 0, 0>,Algebra Univ. 2 (1972) 218–223. · Zbl 0256.06004 · doi:10.1007/BF02945029
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