Notes on linkage of modules with respect to a semidualizing module

Souza, Thyago S.

doi:10.1080/00927872.2022.2151607

Communications in Algebra

2022

DOI: 10.1080/00927872.2022.2151607

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Notes on linkage of modules with respect to a semidualizing module

Thyago S. Souza

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2023

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Theory of linkage, Gorenstein dimension and two semidualizing modules

Souza

2023

J. Algebra Appl.

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Let [Formula: see text] be a semiperfect commutative Noetherian ring with identity and [Formula: see text] be semidualizing [Formula: see text]-modules. We study the theory of linkage with respect to [Formula: see text] for modules of finite [Formula: see text]-dimension. For a module which is horizontally linked with respect to [Formula: see text], the connections of its invariants reduced grade with respect to [Formula: see text], [Formula: see text]-dimension and depth are discussed. Along the way, we provide a characterization of horizontally linked modules with respect to [Formula: see text] of [Formula: see text]-dimension zero.

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Theory of linkage, Gorenstein dimension and two semidualizing modules

Souza

2023

J. Algebra Appl.

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Notes on linkage of modules with respect to a semidualizing module

Cited by 1 publication

References 35 publications

Theory of linkage, Gorenstein dimension and two semidualizing modules

Theory of linkage, Gorenstein dimension and two semidualizing modules

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