关于MORITA型的稳定等价

摘要

研究Morita型的稳定等价.证明了:1、任意两个分离代数是Morita型稳定等价的;2、如果A与B是两个不含投射内射模的selfinjectively free代数,并且在它们之间有一个Morita型的稳定等价,那么A与B是Morita等价的.%1. Any two separable algebras are stably equivalent of Morita type; 2. If A and B are selfinjectively free algebras with no projective-injective modules and there is a stable equivalence of Morita type between A and B,then A and B are Morita equivalent.