Vol. 3 (08) pp. 497-503

NEARLY PRIMARY SUBMODULES

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  • Departmant of Mathematics,College of Science, University.Baghdad,Iraq
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Abstract

Let R be a commutative ring with unity and let N be a submodule of a nonzero left R-module M, N is called primary if whenever rx?N ,r?R,x?M , implies that either x?N or r??([N:M] ). In this paper we say that N is nearly primary, if whenever rx?N ,r?R,x?M, , implies that either x?N+J(M) or r??([N+J(M):M] ) , (in short N.primary),where J(M) is the Jacobson radical of M. We give many results of this type of submodules.

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How to Cite This Article

Nuhad Salim Al-Mothafar, Mohammed B.H.Alhakeem (2015); NEARLY PRIMARY SUBMODULES, Int. J. of Adv. Res., 3 (08), 497-503, ISSN 2320-5407.

Corresponding Author

Nuhad Salim Al-Mothafar

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