Coderivations of Ranked Bigroupoids

The notion of (co)derivations of ranked bigroupoids is discussed by Alshehri et al. (in press), and their generalized version is studied by Jun et al. (under review press). In particular, Jun et al. (under review press) studied coderivations of ranked bigroupoids. In this paper, the generalization o...

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Main Authors: Young Bae Jun, Kyoung Ja Lee, Chul Hwan Park
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/626781
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author Young Bae Jun
Kyoung Ja Lee
Chul Hwan Park
author_facet Young Bae Jun
Kyoung Ja Lee
Chul Hwan Park
author_sort Young Bae Jun
collection DOAJ
description The notion of (co)derivations of ranked bigroupoids is discussed by Alshehri et al. (in press), and their generalized version is studied by Jun et al. (under review press). In particular, Jun et al. (under review press) studied coderivations of ranked bigroupoids. In this paper, the generalization of coderivations of ranked bigroupoids is discussed. The notion of generalized coderivations in ranked bigroupoids is introduced, and new generalized coderivations of ranked bigroupoids are obtained by combining a generalized self-coderivation with a rankomorphism. From the notion of (X,∗,&)-derivation, the existence of a rankomorphism of ranked bigroupoids is established.
format Article
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institution Kabale University
issn 1110-757X
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-e2838183b5334cefaae79fe7423d92682025-02-03T01:11:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/626781626781Coderivations of Ranked BigroupoidsYoung Bae Jun0Kyoung Ja Lee1Chul Hwan Park2Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics Education, Hannam University, Daejeon 306-791, Republic of KoreaSchool of Digital Mechanics, Ulsan College, Nam-Gu Ulsan 680-749, Republic of KoreaThe notion of (co)derivations of ranked bigroupoids is discussed by Alshehri et al. (in press), and their generalized version is studied by Jun et al. (under review press). In particular, Jun et al. (under review press) studied coderivations of ranked bigroupoids. In this paper, the generalization of coderivations of ranked bigroupoids is discussed. The notion of generalized coderivations in ranked bigroupoids is introduced, and new generalized coderivations of ranked bigroupoids are obtained by combining a generalized self-coderivation with a rankomorphism. From the notion of (X,∗,&)-derivation, the existence of a rankomorphism of ranked bigroupoids is established.http://dx.doi.org/10.1155/2012/626781
spellingShingle Young Bae Jun
Kyoung Ja Lee
Chul Hwan Park
Coderivations of Ranked Bigroupoids
Journal of Applied Mathematics
title Coderivations of Ranked Bigroupoids
title_full Coderivations of Ranked Bigroupoids
title_fullStr Coderivations of Ranked Bigroupoids
title_full_unstemmed Coderivations of Ranked Bigroupoids
title_short Coderivations of Ranked Bigroupoids
title_sort coderivations of ranked bigroupoids
url http://dx.doi.org/10.1155/2012/626781
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AT kyoungjalee coderivationsofrankedbigroupoids
AT chulhwanpark coderivationsofrankedbigroupoids