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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 68, Issue 2

Issues

Generalized multiplicative derivations in 3-prime near rings

Mohammad Ashraf / Abdelkarim Boua
  • Universite Ibn Zohr Faculte des Sciences Department de Mathematiques Equipe d’equationes fonctionnelles et application (EEFA) B. P. 8106, Agadir Maroc
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/ Mohammad Aslam Siddeeque
Published Online: 2018-03-31 | DOI: https://doi.org/10.1515/ms-2017-0104

Abstract

In the present paper, we introduce the notion of generalized multiplicative derivation in a near-ring N and investigate commutativity of 3-prime near-rings, showing that certain conditions involving generalized multiplicative derivations force N to be a commutative ring. Finally some more results related with the structure of these derivations are also obtained.

MSC 2010: Primary 16W10; 16N60; 16U80

Keywords: derivation; multiplicative derivation; generalized multiplicative derivation; semigroup ideals; commutativity

References

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About the article


Received: 2016-01-25

Accepted: 2016-07-22

Published Online: 2018-03-31

Published in Print: 2018-04-25


Citation Information: Mathematica Slovaca, Volume 68, Issue 2, Pages 331–338, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0104.

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