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Homological dimensions over almost gentle algebras

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arxiv 2503.04445 v1 pith:CGYS2JJA submitted 2025-03-06 math.RT

Demin Wang , Zhaoyong Huang , Yu-Zhe Liu This is my paper · ORCID
classification math.RT
keywords almostgentlealgebrasdimensionalgebraauslandercomputingcondition
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We provide a method for computing the global dimension and self-injective dimension of almost gentle algebras,and prove that an almost gentle algebra is Gorenstein if it satisfies the Auslander condition.

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  1. Global dimension of a string algebra

    math.RT 2026-07 conditional novelty 6.0 of 10

    The global dimension of a string algebra equals the maximum length of minimal relation chains beginning with an arrow, and is infinite precisely when an infinite such chain exists.

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