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January, 2022 Linkage of modules by reflexive morphisms
Fatemeh DEHGHANI-ZADEH, Mohammad T. DIBAEI, Arash SADEGHI
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J. Math. Soc. Japan 74(1): 25-77 (January, 2022). DOI: 10.2969/jmsj/84888488

Abstract

In this paper, we introduce and study the notion of linkage of modules by reflexive homomorphisms. This notion unifies and generalizes several known concepts of linkage of modules and enables us to study the theory of linkage of modules over Cohen–Macaulay rings rather than the more restrictive Gorenstein rings. It is shown that several known results for Gorenstein linkage are still true in the more general case of module linkage over Cohen–Macaulay rings. We also introduce the notion of colinkage of modules and establish an adjoint equivalence between the linked and colinked modules.

Funding Statement

The third author's research was supported by a grant from IPM, Iran.

Citation

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Fatemeh DEHGHANI-ZADEH. Mohammad T. DIBAEI. Arash SADEGHI. "Linkage of modules by reflexive morphisms." J. Math. Soc. Japan 74 (1) 25 - 77, January, 2022. https://doi.org/10.2969/jmsj/84888488

Information

Received: 25 May 2020; Published: January, 2022
First available in Project Euclid: 6 December 2021

Digital Object Identifier: 10.2969/jmsj/84888488

Subjects:
Primary: 13C40
Secondary: 13C14 , 13D05 , 13D45

Keywords: Homological dimensions , Linkage of modules , local cohomology

Rights: Copyright ©2022 Mathematical Society of Japan

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Vol.74 • No. 1 • January, 2022
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