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Annals of the Alexandru Ioan Cuza University - Mathematics

The Journal of "Alexandru Ioan Cuza" University from Iasi

Editor-in-Chief: Oniciuc, Cezar

2 Issues per year

CiteScore 2016: 0.34

SCImago Journal Rank (SJR) 2016: 0.231
Source Normalized Impact per Paper (SNIP) 2016: 0.488

Mathematical Citation Quotient (MCQ) 2015: 0.10

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Strongly Large Module Extensions

B. Ungor / S. Halicioglu / M.A. Kamal / A. Harmanci
Published Online: 2013-08-14 | DOI: https://doi.org/10.2478/v10157-012-0035-6


In this paper, we introduce strongly large submodules and investigate their properties. A submodule N of a right R-module M is said to be strongly large in case for any m ∈ M, s ∈ R with ms ̸= 0 there exists an r ∈ R such that mr ∈ N and mrs ̸= 0. In this note, we also define and study strongly large closed submodules and strongly large complement submodules

Keywords : large submodules; strongly large submodule

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About the article

Published Online: 2013-08-14

Published in Print: 2013-07-01

Citation Information: Annals of the Alexandru Ioan Cuza University - Mathematics, Volume 59, Issue 2, Pages 431–452, ISSN (Print) 1221-8421, DOI: https://doi.org/10.2478/v10157-012-0035-6.

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