A topology on BCK-modules via prime sub-BCK-modules

In this paper, by considering the notion of prime BCKsub-modules of BCK-modules, we introduce a topology on prime BCK-sub-modules of BCK-modules. Moreover, the notion of top BCK-modules, semi-prime sub -BCK-modules and extraordinary sub- BCK-modules are introduced. Finally the relationships between...

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Main Authors: T. Roudbari, N. Motahari
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2012-12-01
Series:Journal of Hyperstructures
Subjects:
Online Access:https://jhs.uma.ac.ir/article_2545_b101d7da24e0f14a4b712b8298e837b7.pdf
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author T. Roudbari
N. Motahari
author_facet T. Roudbari
N. Motahari
author_sort T. Roudbari
collection DOAJ
description In this paper, by considering the notion of prime BCKsub-modules of BCK-modules, we introduce a topology on prime BCK-sub-modules of BCK-modules. Moreover, the notion of top BCK-modules, semi-prime sub -BCK-modules and extraordinary sub- BCK-modules are introduced. Finally the relationships between them are studied.
format Article
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institution DOAJ
issn 2251-8436
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language English
publishDate 2012-12-01
publisher University of Mohaghegh Ardabili
record_format Article
series Journal of Hyperstructures
spelling doaj-art-e447e85090794a1e8a166ce4ba03c1512025-08-20T02:40:17ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662012-12-0112243010.22098/jhs.2012.25452545A topology on BCK-modules via prime sub-BCK-modulesT. Roudbari0N. Motahari1Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, IranDepartment of Mathematics, Sciences and Research University, Kerman Branch, Kerman, IranIn this paper, by considering the notion of prime BCKsub-modules of BCK-modules, we introduce a topology on prime BCK-sub-modules of BCK-modules. Moreover, the notion of top BCK-modules, semi-prime sub -BCK-modules and extraordinary sub- BCK-modules are introduced. Finally the relationships between them are studied.https://jhs.uma.ac.ir/article_2545_b101d7da24e0f14a4b712b8298e837b7.pdfbck-algebrabck-modulestop bck-modules
spellingShingle T. Roudbari
N. Motahari
A topology on BCK-modules via prime sub-BCK-modules
Journal of Hyperstructures
bck-algebra
bck-modules
top bck-modules
title A topology on BCK-modules via prime sub-BCK-modules
title_full A topology on BCK-modules via prime sub-BCK-modules
title_fullStr A topology on BCK-modules via prime sub-BCK-modules
title_full_unstemmed A topology on BCK-modules via prime sub-BCK-modules
title_short A topology on BCK-modules via prime sub-BCK-modules
title_sort topology on bck modules via prime sub bck modules
topic bck-algebra
bck-modules
top bck-modules
url https://jhs.uma.ac.ir/article_2545_b101d7da24e0f14a4b712b8298e837b7.pdf
work_keys_str_mv AT troudbari atopologyonbckmodulesviaprimesubbckmodules
AT nmotahari atopologyonbckmodulesviaprimesubbckmodules
AT troudbari topologyonbckmodulesviaprimesubbckmodules
AT nmotahari topologyonbckmodulesviaprimesubbckmodules