Auslander-Reiten Orbit Algebras for Self-Injective Nakayama Algebras

• 来源期刊: 代数集刊（英文版）
• 关键词: Nakayama self-injective algebra Auslander-Reiten orbit algebra Galois covering enveloping algebra
• 年，卷（期）: 2005,（2）
• 页码范围: 351-360
• 页数: 10页
• 语种: 英文

摘要

The main result of this paper is the following: Let A be a self-injective Nakayama K-algebra, which is basic and connected. Suppose that A is a right Aemodule of TAe-period 1. (1) If A is an algebra whose Jacobson radical square is zero,then A(TAe; A) ≌ K[Z]. (2) If A is an algebra whose Jacobson radical square is not zero,then A(TAe ;A) ≌ K[X, Z]/(Xn) for some positive integer n.