ALGEBRAS WITH CYCLE-FINITE STRONGLY SIMPLY CONNECTED GALOIS COVERINGS

作者：De La Pena J A^*

来源：Bulletin of the Iranian Mathematical Society, 2011, 37(2): 159-186.

• Module category of an algebra
• infinite radical
• Galois coverings
• cycles of modules

Let A be a finite dimensional k-algebra and R be a locally bounded category such that R -> R/G = A is a Galois covering defined by the action of a torsion-free group of automorphisms of R. Following [30], we provide criteria on the convex subcategories of a strongly simply connected category R in order to be a cycle-finite category and describe the module category of A. We provide criteria for A to be of polynomial growth.

• 出版日期2011-7