Strongly Prime Submodules

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 24 Jun 2009Embargo end date: 01 Jan 2009 English Publisher:Informa UK LimitedJournal:Communications in Algebra, volume 37, pages 2,193-2,199 (issn: 0092-7872, eissn: 1532-4125,

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Authors: Naghipour, A. R.;

doi: 10.1080/00927870802467239 , 10.48550/arxiv.0912.1757

arXiv: 0912.1757

Strongly Prime Submodules

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Abstract

Let $R$ be a commutative ring with identity. For an $R$-module $M$, the notion of strongly prime submodule of $M$ is defined. It is shown that this notion of prime submodule inherits most of the essential properties of the usual notion of prime ideal. In particular, the Generalized Principal Ideal Theorem is extended to modules.

9 pages

Related Organizations

Shahrekord University
Iran (Islamic Republic of)

Keywords

FOS: Mathematics, 13A10, 13C99,13E05, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)

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