Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras

Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory). For a given algebra A, how to construct all the Gorenstein-projective A-modules is a fun...

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Auteur principal:	Dadi Asefa
Format:	article
Langue:	EN
Publié:	Hindawi Limited 2021
Sujets:	Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/504a2950c6f540c1a11a5a5940b32943
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spelling	oai:doaj.org-article:504a2950c6f540c1a11a5a5940b329432021-11-29T00:56:38ZGorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras2314-478510.1155/2021/8127282https://doaj.org/article/504a2950c6f540c1a11a5a5940b329432021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8127282https://doaj.org/toc/2314-4785Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory). For a given algebra A, how to construct all the Gorenstein-projective A-modules is a fundamental problem in Gorenstein homological algebra. In this paper, we describe all complete projective resolutions over an upper triangular Artin algebra Λ=AMBA0B. We also give a necessary and sufficient condition for all finitely generated Gorenstein-projective modules over Λ=AMBA0B.Dadi AsefaHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Dadi Asefa Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
description	Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory). For a given algebra A, how to construct all the Gorenstein-projective A-modules is a fundamental problem in Gorenstein homological algebra. In this paper, we describe all complete projective resolutions over an upper triangular Artin algebra Λ=AMBA0B. We also give a necessary and sufficient condition for all finitely generated Gorenstein-projective modules over Λ=AMBA0B.
format	article
author	Dadi Asefa
author_facet	Dadi Asefa
author_sort	Dadi Asefa
title	Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
title_short	Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
title_full	Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
title_fullStr	Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
title_full_unstemmed	Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
title_sort	gorenstein-projective modules over upper triangular matrix artin algebras
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/504a2950c6f540c1a11a5a5940b32943
work_keys_str_mv	AT dadiasefa gorensteinprojectivemodulesoveruppertriangularmatrixartinalgebras
_version_	1718407705766395904

Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras

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