极小拟内射模和强Kasch模(On minimal quasi-injective modules and strong Kasch modules)

Abstract

Let R be a ring and M a right R-module. M is said to be minimal quasi-injective if every homomorphism from a simple submodule of M to M can be extended to an endomorphism of M. M is said to be strongly Kasch if every simple right R-module embeds in M. Some characterizations and properties of these two classes of modules are investigated.

Keywords

• minimal quasi-injective module
• strong kasch module
• semiperfect ring
• semilocal ring