A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )

Condition (Fg) was introduced in [6] to ensure that the theory of support varieties of a finite-dimensional algebra, established by Snashall and Solberg, has some similar properties to that of a group algebra. In this paper we give some easy-to-check combinatorial conditions that are equivalent to (...

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Authors: Jawad, Ruaa, Snashall, Nicole, Taillefer, Rachel|||0000-0002-7697-5926
Format: article
Publication Date:2024
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:295019
Online Access:https://ddd.uab.cat/record/295019
Access Level:Open access
Keyword:D-Koszul
Ext algebra
Hochschild cohomology
Finiteness condition
(d, a)-stacked
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spelling A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )Jawad, RuaaSnashall, NicoleTaillefer, Rachel|||0000-0002-7697-5926D-KoszulExt algebraHochschild cohomologyFiniteness condition(d, a)-stackedCondition (Fg) was introduced in [6] to ensure that the theory of support varieties of a finite-dimensional algebra, established by Snashall and Solberg, has some similar properties to that of a group algebra. In this paper we give some easy-to-check combinatorial conditions that are equivalent to (Fg) for monomial d-Koszul algebras. We then extend this to monomial (D, A)-stacked algebras. We also extend the description of the Yoneda algebra of a d-Koszul algebra in [10] to (D, A)-stacked monomial algebras. 22024-01-0120242024-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/295019reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2950192026-06-06T12:50:31Z
dc.title.none.fl_str_mv A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
title A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
spellingShingle A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
Jawad, Ruaa
D-Koszul
Ext algebra
Hochschild cohomology
Finiteness condition
(d, a)-stacked
title_short A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
title_full A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
title_fullStr A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
title_full_unstemmed A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
title_sort A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
dc.creator.none.fl_str_mv Jawad, Ruaa
Snashall, Nicole
Taillefer, Rachel|||0000-0002-7697-5926
author Jawad, Ruaa
author_facet Jawad, Ruaa
Snashall, Nicole
Taillefer, Rachel|||0000-0002-7697-5926
author_role author
author2 Snashall, Nicole
Taillefer, Rachel|||0000-0002-7697-5926
author2_role author
author
dc.subject.none.fl_str_mv D-Koszul
Ext algebra
Hochschild cohomology
Finiteness condition
(d, a)-stacked
topic D-Koszul
Ext algebra
Hochschild cohomology
Finiteness condition
(d, a)-stacked
description Condition (Fg) was introduced in [6] to ensure that the theory of support varieties of a finite-dimensional algebra, established by Snashall and Solberg, has some similar properties to that of a group algebra. In this paper we give some easy-to-check combinatorial conditions that are equivalent to (Fg) for monomial d-Koszul algebras. We then extend this to monomial (D, A)-stacked algebras. We also extend the description of the Yoneda algebra of a d-Koszul algebra in [10] to (D, A)-stacked monomial algebras.
publishDate 2024
dc.date.none.fl_str_mv 2
2024-01-01
2024
2024-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/295019
url https://ddd.uab.cat/record/295019
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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