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Cohen–Macaulay ring
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1	LOCAL RINGS OF COUNTABLE COHEN-MACAULAY TYPE arXiv:math.ACv1 6 May 2002 CRAIG HUNEKE AND GRAHAM J. LEUSCHKE Abstract. We prove (the excellent case of) Schreyer’s conjecture that a local ring with countable Add to Reading List Source URL: www.leuschke.org Language: English - Date: 2012-03-03 17:51:26
2	LARGE INDECOMPOSABLE MCM MODULES Graham Leuschke and Roger Wiegand August 21, 2008 Theorem. Let (S, n) be a Cohen-Macaulay local ring of dimension at least two, and let Z be an indeterminate. Then R := S[Z]/(Z 2 ) has u Add to Reading List Source URL: www.leuschke.org Language: English - Date: 2012-03-03 17:51:54
3	LOCAL RINGS OF BOUNDED COHEN–MACAULAY TYPE arXiv:math.ACv2 22 Apr 2003 GRAHAM J. LEUSCHKE AND ROGER WIEGAND Abstract. Let (R, m, k) be a local Cohen–Macaulay (CM) ring of dimension one. It is Add to Reading List Source URL: www.leuschke.org Language: English - Date: 2012-03-03 17:52:01
4	Finite, Countable, and Bounded CM type Graham Leuschke, 9 April 03 Notation: (R, m, k) is a complete local ring (graded if time allows at the end) Usually k = C. Always Cohen–Macaulay (depth R = dim R) Add to Reading List Source URL: www.leuschke.org Language: English - Date: 2012-03-03 17:51:45
5	Bibliography [1] Y. Aoyama and S. Goto, On the endomorphism ring of the canonical module, J. Math. Kyoto Univ. 25, (–M. Auslander and R. O. Buchweitz, The homological theory of Cohen-Macaulay approximat Add to Reading List Source URL: math.ipm.ac.ir Language: English - Date: 2011-10-29 04:19:44
6	Contents 1 PreliminariesCousin complex . . . . . . . . . . . . . . . . . . . . . . . . . . Add to Reading List Source URL: math.ipm.ac.ir Language: English - Date: 2011-10-29 04:19:36 Module theory Algebraic geometry Commutative algebra Cohen–Macaulay ring Injective module Projective module Resolution Flat module Gorenstein Abstract algebra Algebra Homological algebra
7	Contemporary Mathematics Topological Cohen–Macaulay criteria for monomial ideals Ezra Miller Introduction Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2009-03-18 07:42:21 Algebraic topology Commutative algebra Algebraic combinatorics Homotopy theory Topological spaces Stanley–Reisner ring Combinatorial commutative algebra Cohomology Simplicial complex Abstract algebra Topology Algebra
8	RECIPROCAL DOMAINS AND COHEN–MACAULAY d-COMPLEXES IN Rd EZRA MILLER AND VICTOR REINER Dedicated to Richard P. Stanley on the occasion of his 60th birthday Abstract. We extend a reciprocity theorem of Stanley about enum Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2004-04-13 13:31:40 Mathematics Algebraic combinatorics Combinatorial commutative algebra Cohen–Macaulay ring Graduate Texts in Mathematics Bernd Sturmfels Stanley–Reisner ring Commutative algebra Algebra Algebraic geometry
9	Reciprocal domains and Cohen–Macaulay d-complexes in Rd Ezra Miller∗ and Victor Reiner∗ School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA , Submitted: S Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2004-12-09 18:26:55 Commutative algebra Algebraic geometry Algebraic combinatorics Algebraic topology Topological spaces Cohen–Macaulay ring Stanley–Reisner ring Combinatorial commutative algebra Simplicial complex Abstract algebra Mathematics Algebra
10	Revised August 2014 DAVID EISENBUD VITA Born April 8, 1947, New York City US Citizen Married, with two children Add to Reading List Source URL: www.msri.org Language: English - Date: 2014-11-30 21:49:02 Algebraic geometry Commutative algebra David Eisenbud Graduate Texts in Mathematics Algebra & Number Theory Bernd Sturmfels Mathematical Sciences Research Institute Cohen–Macaulay ring Macaulay computer algebra system Abstract algebra Mathematics Algebra

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