M-C-PSEUDO INJECTIVE MODULES

V. Kumar; A. J. Gupta; B. M. Pandeya; M. K. Patel

V. Kumar
A. J. Gupta
B. M. Pandeya
M. K. Patel

Keywords: Closed submodule, C-injective module, Hopﬁan module, co-Hopﬁan module, Directly ﬁnite Module and Pseudo injective module

Abstract

In this paper we study M-C-pseudo injective module which is the generalization of pseudo injective module and we give an example of M-Cpseudo injective module which is not M-pseudo injective. We also study some properties related to co-Hopﬁan and Hopﬁan modules. We characterize the commutative semi-simple rings in terms of C-pseudo injective modules.