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arXiv · 1206.3726

Global Dimensions of Some Artinian Algebras

Müge Kanuni·Atabey Kaygun
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Abstract

In this article we obtain lower and upper bounds for global dimensions of a class of artinian algebras in terms of global dimensions of a finite subset of their artinian subalgebras. Finding these bounds for the global dimension of an artinian algebra $A$ is realized via an explicit algorithm we develop. This algorithm is based on a directed graph (not the Auslander-Reiten quiver) we construct, and it allows us to decide whether an artinian algebra has finite global dimension in good number of cases.

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Müge Kanuni, Atabey Kaygun. 2012-11-05. Global Dimensions of Some Artinian Algebras. https://arxiv.org/abs/1206.3726

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