×
Sharp, Rodney Y.

In memoriam: David Rees (1918–2013). (English) Zbl 1338.01057

Bull. Lond. Math. Soc. 48, No. 3, 557-576 (2016).

Cited in 2 Documents

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
13-03 History of commutative algebra

Biographic References:

Rees, David
Cite Review PDF
Full Text: DOI

References:

[1] DOI: 10.1007/BF01112819 · Zbl 0112.26604 · doi:10.1007/BF01112819
[2] DOI: 10.1017/S0305004100032618 · doi:10.1017/S0305004100032618
[3] Brodmann, Asymptotic stability of \({\mathrm Ass}\,(M/I^nM)\), Proc. Amer. Math. Soc. 74 pp 16– (1979)
[4] Bruns W. Herzog J. , Cohen–Macaulay rings, Cambridge Studies in Advanced Mathematics 39, Revised Edition (Cambridge University Press, Cambridge, 1998). · doi:10.1017/CBO9780511608681
[5] Cartan H. Eilenberg S. , Homological algebra (Princeton University Press, Princeton, NJ, 1956).
[6] DOI: 10.1090/S0002-9947-1946-0016094-3 · doi:10.1090/S0002-9947-1946-0016094-3
[7] Herivel J. , Herivelismus and the German military Enigma (M. & M. Baldwin, Kidderminster, 2008).
[8] Howie J. M. , Fundamentals of semigroup theory, London Mathematical Society Monographs New Series 12 (Oxford University Press, Oxford, 1995). · Zbl 0835.20077
[9] DOI: 10.1307/mmj/1029003560 · Zbl 0628.13012 · doi:10.1307/mmj/1029003560
[10] Krull W. , ’Primeidealketten in allgemeinen Ringbereichen’, S. B. Heidelberg Akad. Wiss. 7 (1928) Abh. · JFM 54.0156.01
[11] DOI: 10.1007/s00233-014-9595-y · Zbl 1294.01054 · doi:10.1007/s00233-014-9595-y
[12] Macaulay F. S. , The algebraic theory of modular systems, Cambridge Tracts in Mathematics and Mathematical Physics 19 (Cambridge University Press, Cambridge, 1916). · JFM 46.0167.01
[13] Matsumura H. , Commutative ring theory, Cambridge Studies in Advanced Mathematics 8 (Cambridge University Press, Cambridge, 1986). · Zbl 0603.13001
[14] McAdam S. , Asymptotic prime divisors, Lecture Notes in Mathematics 1023 (Springer, Berlin, 1983). · Zbl 0529.13001
[15] DOI: 10.1016/0021-8693(79)90306-5 · Zbl 0422.13003 · doi:10.1016/0021-8693(79)90306-5
[16] Mori, On the integral closure of an integral domain, Mem. Coll. Sci. Univ. Kyoto. 27 pp 249– (1952) · Zbl 0053.21701 · doi:10.1215/kjm/1250777561
[17] Nagata, On the derived normal rings of noetherian integral domains, Mem. Coll. Sci. Univ. Kyoto. 29 pp 293– (1955) · Zbl 0067.26603 · doi:10.1215/kjm/1250777189
[18] DOI: 10.2307/2372927 · Zbl 0192.13801 · doi:10.2307/2372927
[19] DOI: 10.1307/mmj/1029001769 · doi:10.1307/mmj/1029001769
[20] DOI: 10.2140/pjm.1984.111.395 · Zbl 0488.13004 · doi:10.2140/pjm.1984.111.395
[21] DOI: 10.2307/1969764 · Zbl 0049.02301 · doi:10.2307/1969764
[22] DOI: 10.2307/1969915 · Zbl 0067.16201 · doi:10.2307/1969915
[23] Stewart I. , ’Peter Hilton obituary’, The Guardian, 2 December 2010.
[24] DOI: 10.1007/BF01459084 · JFM 54.0151.04 · doi:10.1007/BF01459084
[25] Swanson I. Huneke C. , Integral closure of ideals, rings and modules, London Mathematical Society Lecture Note Series 336 (Cambridge University Press, Cambridge, 2006). · Zbl 1117.13001
[26] Teissier B. , ’Cycles évanescents, sections planes, et conditions de Whitney’, Singularités à Cargèse 1972, Astérisque 7–8 (Société Mathématique de France, Paris, 1973).
[27] Teissier, Sur une inégalité à la Minkowski pour les multiplicités, Ann. of Math. 106 (2) pp 38– (1977)
[28] DOI: 10.1007/BF02592688 · JFM 55.0713.01 · doi:10.1007/BF02592688
[29] Weil A. , Foundations of algebraic geometry, American Mathematical Society Colloquium Publications 29 (American Mathematical Society, New York, 1946). · Zbl 0063.08198
[30] Yoshino Y. , Cohen–Macaulay modules over Cohen–Macaulay rings, London Mathematical Society Lecture Note Series 146 (Cambridge University Press, Cambridge, 1990). · Zbl 0745.13003 · doi:10.1017/CBO9780511600685
[31] DOI: 10.1098/rsbm.2012.0036 · doi:10.1098/rsbm.2012.0036
[32] Zariski, Interprétations algébrico-géométrique de quatorzième problème de Hilbert, Bull. Sci. Math. 78 pp 155– (1954)
[33] DOI: 10.1017/S0305004100017436 · JFM 66.1207.01 · doi:10.1017/S0305004100017436
[34] DOI: 10.1017/S0305004100018065 · JFM 67.0978.02 · doi:10.1017/S0305004100018065
[35] ’Note on a paper by I. J. Good’, J. London Math. Soc. 21 pp 169– (1946)
[36] ’On the group of a set of partial transformations’, J. London Math. Soc. 22 pp 281– (1947)
[37] ’On the ideal structure of a semi-group satisfying a cancellation law’, Quart. J. Math. Oxford 19 pp 101– (1948)
[38] ’Linear systems of algebras’, Ann. of Math. (2) 51 pp 123– (1950)
[39] DOI: 10.1017/S0305004100025433 · doi:10.1017/S0305004100025433
[40] DOI: 10.1017/S0305004100027341 · doi:10.1017/S0305004100027341
[41] DOI: 10.1017/S0305004100029194 · doi:10.1017/S0305004100029194
[42] DOI: 10.1017/S0305004100029455 · doi:10.1017/S0305004100029455
[43] ’Valuations associated with a local ring (I)’, Proc. London Math. Soc. 5 (3) pp 107– (1955) · Zbl 0066.28805
[44] DOI: 10.1017/S0305004100030164 · doi:10.1017/S0305004100030164
[45] DOI: 10.1017/S0305004100030917 · doi:10.1017/S0305004100030917
[46] DOI: 10.1017/S0305004100031091 · doi:10.1017/S0305004100031091
[47] ’Valuations associated with ideals’, Proc. London Math. Soc. 6 (31) pp 161– (1956) · Zbl 0074.26302
[48] ’Valuations associated with ideals (II)’, J. London Math. Soc. 31 pp 221– (1956) · Zbl 0074.26303
[49] ’Valuations associated with a local ring (II)’, J. London Math. Soc. 31 pp 228– (1956) · Zbl 0074.26401
[50] DOI: 10.1017/S0305004100031650 · doi:10.1017/S0305004100031650
[51] DOI: 10.1017/S0305004100031960 · doi:10.1017/S0305004100031960
[52] ’Filtrations as limits of valuations’, J. London Math. Soc. 32 pp 97– (1957) · Zbl 0088.03502
[53] ’A note on general ideals’, J. London Math. Soc. 32 pp 181– (1957)
[54] ’Extensions and simplifications of the theory of regular local rings’, J. London Math. Soc. 32 pp 367– (1957) · Zbl 0079.26601
[55] DOI: 10.1112/S002557930000108X · Zbl 0089.26003 · doi:10.1112/S002557930000108X
[56] DOI: 10.1017/S0305004100032606 · doi:10.1017/S0305004100032606
[57] DOI: 10.1093/qmath/8.1.119 · Zbl 0077.26001 · doi:10.1093/qmath/8.1.119
[58] ’On a problem of Zariski’, Illinois J. Math. 1 pp 145– (1957)
[59] ’Réduction des idéaux et multiplicités dans les anneaux locaux’, Séminaire Dubreil–Pisot (Algèbre et Théorie des Nombres) 13e année (1960) numéro 8.
[60] DOI: 10.1017/S0305004100034800 · doi:10.1017/S0305004100034800
[61] DOI: 10.1017/S0305004100034794 · doi:10.1017/S0305004100034794
[62] DOI: 10.1017/S0305004100035544 · doi:10.1017/S0305004100035544
[63] ’A note on analytically unramified local rings’, J. London Math. Soc. 36 pp 24– (1961) · Zbl 0115.26202
[64] DOI: 10.1016/S0076-5392(08)60290-8 · doi:10.1016/S0076-5392(08)60290-8
[65] ’Local birational geometry’, Proc. Internat. Colloq. Algebraic Geometry (Madrid, 1965) (Spanish) (Inst. Jorge Juan del C.S.I.C.–Internat. Math. Union, Madrid, 1966) 17–22.
[66] ’Degree functions in two-dimensional normal local domains’, Symposia Mathematica, Vol. VIII (Convegno sulle Algebre Associative, INDAM, Rome, 1970) (Academic Press, London, 1972) 205–225.
[67] J. London Math. Soc. 18 (2) pp 449– (1978)
[68] DOI: 10.1016/0021-8693(79)90209-6 · Zbl 0408.13007 · doi:10.1016/0021-8693(79)90209-6
[69] DOI: 10.1017/S0305004100058333 · Zbl 0491.13014 · doi:10.1017/S0305004100058333
[70] ’Hilbert functions and pseudo-rational local rings of dimension two’, J. London Math. Soc. 24 (2) pp 467– (1981) · Zbl 0492.13012
[71] ’Absolute integral dependence on an ideal’, Institut Mittag-Leffler Report No. 9 (1981).
[72] ’Hilbert functions and degree functions’, Commutative algebra: Durham 1981, London Mathematical Society Lecture Note Series 72 (Cambridge University Press, Cambridge, 1982) 170–178.
[73] DOI: 10.1112/jlms/s2-29.3.397 · Zbl 0572.13005 · doi:10.1112/jlms/s2-29.3.397
[74] DOI: 10.1017/S0305004100063210 · Zbl 0578.13006 · doi:10.1017/S0305004100063210
[75] ’Amao’s theorem and reduction criteria’, J. London Math. Soc. 32 (2) pp 404– (1985) · Zbl 0599.13002
[76] ’The general extension of a local ring and mixed multiplicities’, Algebra, algebraic topology and their interactions (Stockholm 1983), Lecture Notes in Mathematics 1183 (Springer, Berlin, 1986) 339–360.
[77] DOI: 10.1017/S0305004100066810 · Zbl 0628.13004 · doi:10.1017/S0305004100066810
[78] ’Semi-Noether filtrations. I’, J. London Math. Soc. 37 (2) pp 43– (1988)
[79] Lectures on the asymptotic theory of ideals, London Mathematical Society Lecture Note Series 113 (Cambridge University Press, Cambridge, 1988). · Zbl 0669.13001
[80] DOI: 10.1307/mmj/1029003751 · Zbl 0666.13004 · doi:10.1307/mmj/1029003751
[81] ’Izumi’s Theorem’, Commutative algebra (Berkeley, CA, 1987), Mathematical Sciences Research Institute Publications 15 (Springer, Berlin, 1989) 407–416.
[82] (With D. Kirby) ’Multiplicities in graded rings I: the general theory’, Commutative algebra: syzygies, multiplicities, and birational algebra (South Hadley, MA, 1992), Contemporary Mathematics 159 (American Mathematical Society, Providence, 1994) 209–267.
[83] (With D. Kirby) ’Multiplicities in graded rings II: integral equivalence and the Buchsbaum–Rim multiplicity’, Math. Proc. Cambridge Philos. Soc. 119 (1996) 425–445. · Zbl 0877.13023 · doi:10.1017/S0305004100074326
[84] DOI: 10.1017/S0305004197002363 · Zbl 0971.13014 · doi:10.1017/S0305004197002363
[85] DOI: 10.1098/rsbm.2007.0010 · doi:10.1098/rsbm.2007.0010
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.