The projective dimension of sequentially Cohen-Macaulay monomial ideals Sara Faridi∗ October 21, 2013 Since posting this paper we have found that the same result regarding projective dimension of square-free monomial i

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Marine Pollution Bulletin–852 www.elsevier.com/locate/marpolbul Review The pollution of the marine environment by plastic debris: a review

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Maximal Cohen–Macaulay Modules over the Generic Determinant Ragnar-Olaf Buchweitz and Graham Leuschke

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Cohen-Macaulay Properties of Square-Free Monomial Ideals Sara Faridi∗ September 6, 2004 Abstract

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Teaching the Geometry of Schemes Gregory G. Smith and Bernd Sturmfels This chapter presents a collection of graduate level problems in algebraic geometry illustrating the power of Macaulay 2 as an educational tool. When

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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

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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

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ERRATA AND MINOR ADDENDA FOR COHEN-MACAULAY REPRESENTATIONS GRAHAM J. LEUSCHKE AND ROGER WIEGAND October 15, 2013

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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)

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