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On self-orthogonal modules in Iwanaga-Gorenstein rings

On self-orthogonal modules in Iwanaga-Gorenstein rings

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2789001594

On self-orthogonal modules in Iwanaga-Gorenstein rings

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Full title

On self-orthogonal modules in Iwanaga-Gorenstein rings

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Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2023-03

Language

English

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Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

Contents

Let \(A\) be an Iwanaga-Gorenstein ring. Enomoto conjectured that a self-orthogonal \(A\)-module has finite projective dimension. We prove this conjecture for \(A\) having the property that every indecomposable non-projective maximal Cohen-Macaulay module is periodic. This answers a question of Enomoto and shows the conjecture for monomial quiver a...

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Full title

On self-orthogonal modules in Iwanaga-Gorenstein rings

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Record Identifier

TN_cdi_proquest_journals_2789001594

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2789001594

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E-ISSN

2331-8422

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