Graphs Based on BCK/BCI-Algebras

The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced, and several examples are displayed.

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Main Authors: Young Bae Jun, Kyoung Ja Lee
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/616981
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author Young Bae Jun
Kyoung Ja Lee
author_facet Young Bae Jun
Kyoung Ja Lee
author_sort Young Bae Jun
collection DOAJ
description The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced, and several examples are displayed.
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institution OA Journals
issn 0161-1712
1687-0425
language English
publishDate 2011-01-01
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record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-776da4dfc6654b528b15b3fe5c6cfe232025-08-20T02:07:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/616981616981Graphs Based on BCK/BCI-AlgebrasYoung Bae Jun0Kyoung Ja Lee1Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Mathematics Education, Hannam University, Daejeon 306-791, Republic of KoreaThe associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced, and several examples are displayed.http://dx.doi.org/10.1155/2011/616981
spellingShingle Young Bae Jun
Kyoung Ja Lee
Graphs Based on BCK/BCI-Algebras
International Journal of Mathematics and Mathematical Sciences
title Graphs Based on BCK/BCI-Algebras
title_full Graphs Based on BCK/BCI-Algebras
title_fullStr Graphs Based on BCK/BCI-Algebras
title_full_unstemmed Graphs Based on BCK/BCI-Algebras
title_short Graphs Based on BCK/BCI-Algebras
title_sort graphs based on bck bci algebras
url http://dx.doi.org/10.1155/2011/616981
work_keys_str_mv AT youngbaejun graphsbasedonbckbcialgebras
AT kyoungjalee graphsbasedonbckbcialgebras