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

Emel Aslankarayigit Ugurlu; Fethi Callialp; Unsal Tekir

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 673-680
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Emel Aslankarayigit Ugurlu, Fethi Callialp, and Unsal Tekir. "Prime, weakly prime and almost prime elements in multiplication lattice modules." Open Mathematics 14.1 (2016): 673-680. <http://eudml.org/doc/286736>.

@article{EmelAslankarayigitUgurlu2016,
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.},
author = {Emel Aslankarayigit Ugurlu, Fethi Callialp, Unsal Tekir},
journal = {Open Mathematics},
keywords = {Multiplication lattice module; Prime element; Weakly prime element and Almost prime element; multiplication lattice module; prime element; weakly prime element and almost prime element},
language = {eng},
number = {1},
pages = {673-680},
title = {Prime, weakly prime and almost prime elements in multiplication lattice modules},
url = {http://eudml.org/doc/286736},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Emel Aslankarayigit Ugurlu
AU - Fethi Callialp
AU - Unsal Tekir
TI - Prime, weakly prime and almost prime elements in multiplication lattice modules
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 673
EP - 680
AB - 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.
LA - eng
KW - Multiplication lattice module; Prime element; Weakly prime element and Almost prime element; multiplication lattice module; prime element; weakly prime element and almost prime element
UR - http://eudml.org/doc/286736
ER -

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