2009Algebra ColloquiumRequires access

Quasi-pseudo Principally Injective Modules

A. K. Chaturvedi, B. M. Pandeya, Ashok Ji Gupta

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Injective function, Injective module, Mathematics, Divisible group, Characterization (materials science), Pure mathematics, Simple (philosophy), Simple module

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