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

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 Turkey English Publisher:Walter de Gruyter GmbHJournal:Open Mathematics, volume 14, pages 673-680 (eissn: 2391-5455, Copyright policy )
Authors: Aslankarayiğit Uğurlu, Emel; Çallıalp, Fethi; Tekir, Ünsal;

doi: 10.1515/math-2016-0062

handle: 11424/241194

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

Abstract

Abstract In 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.

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Turkey
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Keywords

DUAL NOTION, Multiplication lattice module, 16f05, 16f10, Noether lattices, Weakly prime element and Almost prime element, Prime element, QA1-939, Ordered semigroups and monoids, weakly prime element and almost prime element, Ideals and multiplicative ideal theory in commutative rings, multiplication lattice module, prime element, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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Average
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gold