Linkage of modules over Cohen-Macaulay rings

Mohammad T. Dibaei; Mohsen Gheibi; S. H. Hassanzadeh; Arash Sadeghi

doi:10.1016/j.jalgebra.2011.02.025

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arXiv · 1010.1536

Linkage of modules over Cohen-Macaulay rings

Mohammad T. Dibaei·Mohsen Gheibi·S. H. Hassanzadeh·Arash Sadeghi

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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.

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Mohammad T. Dibaei, Mohsen Gheibi, S. H. Hassanzadeh, Arash Sadeghi. 2010-10-07. Linkage of modules over Cohen-Macaulay rings. https://doi.org/10.1016/j.jalgebra.2011.02.025

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