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Ranks of syzygies of perfect modules

✍ Scribed by Hema Srinivasan

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
357 KB
Volume
65
Category
Article
ISSN
0022-4049

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Let R, m be a local Cohen᎐Macaulay ring with m-adic completion R. A Gorenstein R-module is a non-zero finitely generated R-module whose m-adic completion is isomorphic to a direct sum of copies of the canonical module . ## R The rank of the Gorenstein module G is the positive integer r such that

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We give a method for computing the syzygies of the coordinate ring R of an affine toric variety. We show how the method works for dimension one and two cases, Cohen-Macaulay semigroups, and for computing minimal generators of the defining ideal. We show how to compute the depth of R and generalize a