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Pré-Publication, Document De Travail Année : 2023

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

Résumé

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 [11] to (D, A)-stacked monomial algebras.
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Dates et versions

hal-03932213 , version 1 (10-01-2023)
hal-03932213 , version 2 (17-10-2023)

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Ruaa Jawad, Nicole Snashall, Rachel Taillefer. A combinatorial characterisation of d-Koszul and (D,A)-stacked monomial algebras that satisfy (Fg). 2023. ⟨hal-03932213v2⟩
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