A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
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 (...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2024 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:295019 |
| Acesso em linha: | https://ddd.uab.cat/record/295019 |
| Access Level: | Acceso aberto |
| Palavra-chave: | D-Koszul Ext algebra Hochschild cohomology Finiteness condition (d, a)-stacked |
| Resumo: | 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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