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

2016/05/11 by Viktor Lopatkin, Lopatkin, V., Tran Giang Nam +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1605.03841

openalex publication_date 2016/05/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Related

• Leavitt Path Algebras with Coefficients in a Commutative Unital Ring
• Leavitt path algebras with coefficients in a commutative ring
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• A survey of some of the recent developments in Leavitt path algebras
• The Leavitt path algebra of a graph