Homological Bounds of Gentle algebras

This paper studies the homological bounds of gentle algebras, i.e., the upper bounds for the sum of the projective and injective dimensions of indecomposable modules over gentle algebras. We provide conditions under which this sum is strictly less than twice the global dimension, and as an application, we give a characterization of quasi-tilted gentle algebras.

Publication Details

Journal
ArXiv.org
Published
2025-08-27
Primary Topic
Geochemistry and Geologic Mapping
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article
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article

Homological Bounds of Gentle algebras

ArXiv.org
Geochemistry and Geologic Mapping
article

Homological Bounds of Gentle algebras

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Abstract

This paper studies the homological bounds of gentle algebras, i.e., the upper bounds for the sum of the projective and injective dimensions of indecomposable modules over gentle algebras. We provide conditions under which this sum is strictly less than twice the global dimension, and as an application, we give a characterization of quasi-tilted gentle algebras.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 60%
Geochemistry and Geologic Mapping
Open Access PDFOpenAlex
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Homological Bounds of Gentle algebras · ArXiv.org (2025) | TGRS Research Map | TGRS