关于M-主内射模

On M-principally injective modules

M-主内射模是主内射模的推广.给出了N是M-主内射模当且仅当s∈S=End(MR),φ∈T=HomR(M,N),以及若kers■kerφ,则φ∈Ts等若干等价条件.然后,利用它的等价性得到了M-主内射模的一些性质,这些性质推广了拟主内射模的结果.

Some equivalent conditions of M-principally injective modules a generalization of principally injectire modules were given ： N be an M-principally injective if and only if ker s ker φ imply φ ∈ Ts for all s ∈S = End （ MR ） ,φ ∈ T = HornR （ M, N ） , and etc. Then, some properties of M-principally injective modules were given by using its equivalent conditions, which generalized some results of quasi-principally injective modules.