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arXiv · 2306.02539

Quotient bifinite extensions and the finitistic dimension conjecture

John William MacQuarrie·Fernando dos Reis Naves
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Abstract

We prove that if $B\subseteq A$ is an extension of finite dimensional algebras such that the projective dimension of $A/B$ as a $B$-bimodule is finite, if $A$ has finite finitistic dimension, then so does $B$. We exhibit examples demonstrating that the algebra $B$ appearing in such an extension can be more complicated than $A$.

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BibTeXRIS

John William MacQuarrie, Fernando dos Reis Naves. 2023-06-05. Quotient bifinite extensions and the finitistic dimension conjecture. https://arxiv.org/abs/2306.02539

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