Gorenstein triangular matrix rings and category algebras

Ren Wang

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arXiv · 1412.8278

Gorenstein triangular matrix rings and category algebras

Ren Wang

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Abstract

We give conditions on when a triangular matrix ring is Gorenstein of a given selfinjective dimension. We apply the result to the category algebra of a finite EI category. In particular, we prove that for a finite EI category, its category algebra is 1-Gorenstein if and only if the given category is free and projective.

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Ren Wang. 2014-12-29. Gorenstein triangular matrix rings and category algebras. https://arxiv.org/abs/1412.8278

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