Linkage of modules over Cohen-Macaulay rings
Commutative Algebra
2011-05-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1010.1536,
title = {Linkage of modules over Cohen-Macaulay rings},
author = {Mohammad T. Dibaei and Mohsen Gheibi and S. H. Hassanzadeh and Arash Sadeghi},
journal= {arXiv preprint arXiv:1010.1536},
year = {2011}
}
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12 Pages