On pseudo valuation module and injectivity property
In this paper; we study the relationship between two modules in module theory namely injective and pseudo valuation modules. We investigated that every module has three properties which are noetherian, cyclic and regular is pseudo valuation modules. Also, if R is an Artinian ring and E is finitely g...
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Published in | Journal of discrete mathematical sciences & cryptography Vol. 25; no. 8; pp. 2753 - 2757 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Taylor & Francis
17.11.2022
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Subjects | |
Online Access | Get full text |
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Summary: | In this paper; we study the relationship between two modules in module theory namely injective and pseudo valuation modules. We investigated that every module has three properties which are noetherian, cyclic and regular is pseudo valuation modules. Also, if R is an Artinian ring and E is finitely generated regular module, it implies that E is (P.V.M). We proved that for an R-module E, if R is a commutative ring with E is a Noetherian, Artinian and regular module, then E is P.V.M. Finally, some definitions and new results have introduced in this paper. |
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ISSN: | 0972-0529 2169-0065 |
DOI: | 10.1080/09720529.2022.2060919 |