no. 1
On self-orthogonal modules in Iwanaga–Gorenstein rings
Marczinzik, René1
1 Mathematical Institute of the University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany
Annals of Representation Theory, Volume 1 (2024) no. 1, pp. 67-70.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/art.4
Classification: 16G10, 16E10
Keywords: self-orthogonal module, Iwanaga–Gorenstein ring
Marczinzik, René 1

1 Mathematical Institute of the University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Marczinzik, René. On self-orthogonal modules in Iwanaga–Gorenstein rings. Annals of Representation Theory, Volume 1 (2024) no. 1, pp. 67-70. doi : 10.5802/art.4. https://art.centre-mersenne.org/articles/10.5802/art.4/

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