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arXiv · 2303.10433

On self-orthogonal modules in Iwanaga-Gorenstein rings

Rene Marczinzik
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Abstract

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 algebras and hypersurface rings.

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Rene Marczinzik. 2023-03-18. On self-orthogonal modules in Iwanaga-Gorenstein rings. https://arxiv.org/abs/2303.10433

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