The Gorenstein-projective modules over a monomial algebra

DOI10.1017/S0308210518000185zbMath1403.16008arXiv1501.02978OpenAlexW2963141320WikidataQ129141943 ScholiaQ129141943MaRDI QIDQ4645781

Dawei Shen, Xiao-Wu Chen, Guodong Zhou

Publication date: 10 January 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02978

zbMATH Keywords

monomial algebraNakayama algebraGorenstein-projective modulequadratic monomial algebraperfect path

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of associative Artinian rings (16G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (15)

Auslander's formula and correspondence for exact categories ⋮ A construction of Gorenstein projective $\tau $-tilting modules ⋮ Gorenstein versions of covering techniques for linear categories and their applications ⋮ Gorenstein complexes over formal triangular matrix rings ⋮ On deformations of Gorenstein-projective modules over Nakayama and triangular matrix algebras ⋮ Singular equivalences induced by bimodules and quadratic monomial algebras ⋮ A note on deformations of Gorenstein-projective modules over finite dimensional algebras ⋮ From subcategories to the entire module categories ⋮ Singularity categories of Gorenstein monomial algebras ⋮ On relative Auslander algebras ⋮ Monomial Gorenstein algebras and the stably Calabi-Yau property ⋮ Universal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras ⋮ Frobenius functors, stable equivalences and \(K\)-theory of Gorenstein projective modules ⋮ On Lat-Igusa-Todorov algebras ⋮ Finite generation for Hochschild cohomology of Gorenstein monomial algebras

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