Journal of the Ramanujan Mathematical Society

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Some Aspects of Quasi-Pseudo Principally Injective Modules


Affiliations
1 Gauhati University, Department of Mathematics, Guwahati-781014, India
2 The Iraqi Ministry of Education, Directorate-General for Education, Wasit, Iraq
     

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In this paper, the notion of quasi-pseudo injectivity relative to a class of submodules, namely, quasi-pseudo principally injective has been studied. This notion is closed under direct summands. Several properties and characterizations have been given. In particular, we characterize Noetherian Rings and Dedekind Domains by quasi-pseudo principally injectivity.
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  • Some Aspects of Quasi-Pseudo Principally Injective Modules

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Authors

Hemen Dutta
Gauhati University, Department of Mathematics, Guwahati-781014, India
Azizul Hoque
Gauhati University, Department of Mathematics, Guwahati-781014, India
Samer M. Saeed
The Iraqi Ministry of Education, Directorate-General for Education, Wasit, Iraq

Abstract


In this paper, the notion of quasi-pseudo injectivity relative to a class of submodules, namely, quasi-pseudo principally injective has been studied. This notion is closed under direct summands. Several properties and characterizations have been given. In particular, we characterize Noetherian Rings and Dedekind Domains by quasi-pseudo principally injectivity.