满足N_0-比较性的置换环(英文)

Exchange Rings Satisfying the N0-comparability

证明了RM是满足N0-比较性的置换环当且仅当R是满足0-比较性的置换环,Morita系统带zero pairings是满足0-比较性的置换环当且仅当A和B是满足0比较性的置换环.对幂级数环亦有类似结果.

In this note, we prove that R∞M is an exchange ring satisfying the N0-comparability if and only if so is R, and that the Morita context with zero pairings is an exchange ring satisfying the M B N0-comparability if and only if so are A and B. These provides a class of exchange rings satifying the N0-comparability. Analogue of the ring of power series is also obtained.