• ON ECM-P-INJECTIVE MODULES

R. S. WADBUDHE*

Abstract


The aim this article is to explore the characterization of M-cyclic submodule. Let R be a ring. M and N are R-modules. A module N is called ECM-principally injective module (briefly, ECM-P-injective) if every R-homomorphism from essentially M-cyclic submodule of M to N, can be extended to M. In this paper we obtain to investigate some characteristics of M-principally injective module. Using the notion EC-M-cyclic submodule of M.


Keywords


EC-M-cyclic, M-principally injective, ECM-principally injective, pseudo M-principally injective and pseudo quasi-principally injective.

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