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arXiv · 1605.03841

On the homological dimensions of Leavitt path algebras with coefficients in commutative rings

V. Lopatkin·T. G. Nam
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Abstract

In this paper, we give sharp bounds for the homological dimensions of the Leavitt path algebra $L_K(E)$ of a finite graph $E$ with coefficients in a commutative ring $K$, as well as establish a formula for calculating the homological dimensions of $L_K(E)$ when $K$ is a commutative unital algebra over a field.

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V. Lopatkin, T. G. Nam. 2017-01-21. On the homological dimensions of Leavitt path algebras with coefficients in commutative rings. https://arxiv.org/abs/1605.03841

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