Laura skew group algebras. (English) Zbl 1176.16013
Summary: We prove that if \(A\) is an Artin algebra, \(G\) is a finite group acting on \(A\) such that \(|G|\) is invertible in \(A\), and \(R=A[G]^b\) is a basic algebra associated with the skew group algebra, then \(A\) is left supported (or right supported, or laura, or left glued, or right glued, or weakly shod, or shod) if and only if so is \(R\).
MSC:
| 16G10 | Representations of associative Artinian rings |
| 16E10 | Homological dimension in associative algebras |
| 18E30 | Derived categories, triangulated categories (MSC2010) |
| 16S35 | Twisted and skew group rings, crossed products |
| 16D90 | Module categories in associative algebras |
Keywords:
Artin algebras; laura algebras; shod algebras; left parts of module categories; skew group algebrasReferences:
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