Quasi-pseudo principally injective modules

Abstract

In this paper, the concept of quasi-pseudo principally injective modules is introduced and a characterization of commutative semi-simple rings is given in terms of quasi-pseudo principally injective modules. An example of pseudo M-p-injective module which is not M-pseudo injective is given. © 2009 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and Suzhou University.