GW-Principally Injective Modules and Pseudo-GW-Principally Injective Modules

摘要

Let M be a right R-module with S = EndR(M) and W(S) = {s ∈ S|Ker(s) ?_>~* M}. A right R-module N is called GW-M-principally injective (pseudo-GW-Mprincipally injective), if any s ∈ S W(S), there exists a positive integer n such that s~n ≠ 0 and any R-homomorphism (monomorphism) from s~n(M) to N can be extended to an R-homomorphism from M to N. Characterizations and properties of the two classes of modules are studied.