Algebras with non-periodic bounded modules

Erdmann, Karin

doi:10.1016/j.jalgebra.2016.05.004

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“…For instance, Condition (Fg) is invariant under various constructions, such as derived equivalence or singular equivalence of Morita type, see [16,22,19]. Condition (Fg) has been studied or shown to hold for large families of algebras in [24,26,25,5] among others, and support varieties have been studied for algebras that satisfy (Fg), see for instance [8,20].…”

Section: Introductionmentioning

confidence: 99%

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

Jawad¹,

Snashall²,

Taillefer³

2023

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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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