Prime, weakly prime and almost prime elements in multiplication lattice modules-Reference-Cited by-同舟云学术

Prime, weakly prime and almost prime elements in multiplication lattice modules

Published:2016-01-01 Issue:1 Volume:14 Page:673-680
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Ugurlu Emel Aslankarayigit¹,Callialp Fethi²,Tekir Unsal¹

Affiliation:

1. 1Department of mathematics, Marmara University, Istanbul, 34722, Turkey

2. 2Department of Mathematics, Beykent University, Istanbul, 34396, Turkey

Abstract

AbstractIn this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module.With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0062/pdf

Reference14 articles.

1. Abstract commutative ideal theory of Abstract commutative ideal theoryPacific Journal of Mathematics;Dilworth;Pacific Journal Mathematics,1962

2. Dual notions of prime modules Ibn al - Haitam Journal for Pure and Applied Dual notions of prime modulesIbn al - Haitam Journal for Pure and Applied Science;Ali;Science,2010

3. Multiplication lattice modules of Technology CallialpFTekirUMultiplication lattice modulesIranian Journal of & Technology;Callialp;Iranian Journal Science Science,2011

4. The dual notion of multiplication module of - ToroghyHFarshadifarFThe dual notion of multiplication moduleTaiwanese Journal of Mathematics;Ansari;Taiwanese Journal Mathematics,2007

5. Weakly prime elements in lattice modules of Scientific and Research Publications Weakly prime elements in lattice modulesInternational Journal of Scientific and Research Publications;Manjarekar;International Journal,2013

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. φ-Prime and φ-Primary Elements in Lattice Modules;European Journal of Pure and Applied Mathematics;2021-05-18

2. Modular, Weakly distributive and Normal trellises;Journal of Physics: Conference Series;2021-05-01