Linkage of modules over Cohen-Macaulay rings

Details Linkage of modules over Cohen-Macaulay rings Linkage of modules over Cohen-Macaulay rings

2010-10-07

arxiv.org/abs/1010.1536v1

Journal of Algebra, 335, Issue 1, 1 June 2011, Pages 177-187

Mathematics

Commutative Algebra

12 Pages

Scientific paper

10.1016/j.jalgebra.2011.02.025

Inspired by the works in linkage theory of ideals, the concept of sliding depth of extension modules is defined to prove the Cohen-Macaulyness of linked module if the base ring is merely Cohen-Macaulay. Some relations between this new condition and other module-theory conditions such as G-dimension and sequentially Cohen-Macaulay are established. By the way several already known theorems in linkage theory are improved or recovered by new approaches.

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