具有一对零同态的Morita Context环(Ⅰ)

Morita Context Rings with a Pair of Zero Homomorphisms (Ⅰ)

设(A,B,V,W,ψ,)是一个MoritaContext,且ψ与均为零同态,C=AVWB是相应的MoritaContext环.用经典环论方法,得到了C与A,B之间的一些性质关系,同时推广了形式三角矩阵环的一些结果.

Let （A,B,V,W,ψ,φ） be a Morita Context with ψ and φ both zero bimodule homomorphisms and C=（A W V B）the corresponding Morita Context ring. We obtained some property relations between C and A ,B via classical mathods in ring theory, and generalized some results on formal triangular matrix rings.