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

• Jawad, Ruaa ^[2] ; Snashall, Nicole ^[1] ; Taillefer, Rachel ^[3]
  1. [1] University of Leicester

     University of Leicester

     GB.ENG.H4.31UC, Reino Unido

     
  2. [2] Middle Technical University (Bagdad, Iraq)
  3. [3] Université Clermont Auvergne

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• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 68, Nº. 2, 2024, págs. 559-591
• Idioma: inglés
• DOI: 10.5565/PUBLMAT6822409
• Enlaces
  • Texto completo
• Resumen

  • 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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