A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
Jawad, Ruaa (Middle Technical University (Bagdad, Iraq))
Snashall, Nicole (University of Leicester (Leicester, Regne Unit). School of Computing and Mathematical Sciences)
Taillefer, Rachel (Université Clermont Auvergne)

Date:	2024
Abstract:	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.
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	D-Koszul ; Ext algebra ; Hochschild cohomology ; Finiteness condition ; (d, a)-stacked
Published in:	Publicacions matemàtiques, Vol. 68 Núm. 2 (2024) , p. 559-591 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/430127

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