Invariability of Repetitive Algebras of Tilted Algebras under Stable Equivalence Original Research Article

In this paper, we consider the behavior of the repetitive algebras of tilted algebras under stable equivalence. The main result may be stated as follows: If a locally bounded Frobenius algebra image is stably equivalent to the repetitive algebra of a tilted algebra B, then image is the repetitive algebra of some tilted algebra which has the same type as B.