Semigroup Ideals and Commutativity in 3-prime Near Rings

The purpose of this paper is to study derivations and generalized derivations satisfying certain identities on semigroup ideals of near-rings. Some well-known results characterizing commutativity of 3-prime near-rings by derivations have been generalized by using semigroup ideals. Moreover, examples...

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Bibliographic Details
Published inCommunications in algebra Vol. 43; no. 5; pp. 1757 - 1770
Main Authors Bell, H. E., Boua, A., Oukhtite, L.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 04.05.2015
Subjects
3-prime near-rings
Commutativity
Derivations
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Summary:The purpose of this paper is to study derivations and generalized derivations satisfying certain identities on semigroup ideals of near-rings. Some well-known results characterizing commutativity of 3-prime near-rings by derivations have been generalized by using semigroup ideals. Moreover, examples proving the necessity of the 3-primeness hypothesis are given.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2013.879161