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

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Ruaa Jawad
Middle Technical University (Bagdad, Iraq)
Nicole Snashall
University of Leicester (Leicester, Regne Unit). School of Computing and Mathematical Sciences
Rachel Taillefer
Université Clermont Auvergne
https://orcid.org/0000-0002-7697-5926

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.

Paraules clau
d-Koszul, Ext algebra, Hochschild cohomology, Finiteness condition, (D, A)-stacked

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Jawad, Ruaa et al. “A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )”. Publicacions Matemàtiques, vol.VOL 68, no. 2, pp. 559-91, https://raco.cat/index.php/PublicacionsMatematiques/article/view/430127.
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