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arXiv · 2211.04394

Left-right symmetry of finite finitistic dimension

Charley Cummings
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Abstract

We show that the finitistic dimension conjecture holds for all finite dimensional algebras if and only if, for all finite dimensional algebras, the finitistic dimension of an algebra being finite implies that the finitistic dimension of its opposite algebra is also finite. We also prove the equivalent statement for injective generation.

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Charley Cummings. 2022-11-08. Left-right symmetry of finite finitistic dimension. https://doi.org/10.1112/blms.12954

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