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On Commutativity and Strong Commutativity-Preserving Maps

Published online by Cambridge University Press:  20 November 2018

Howard E. Bell  and
Mohamad Nagy Daif
Howard E. Bell
Affiliation:
Department of Mathematics, Brock University, St. Catharines, Ontario, L2S 3A1
Mohamad Nagy Daif
Affiliation:
Department of Mathematics, Faculty of Education, Umm Al-Qura University, Taif Saudi Arabia
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Abstract

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If R is a ring and S ⊆ R, a mapping f:R —> R is called strong commutativity- preserving (scp) on S if [x, y] = [f(x),f(y)] for all x,y € S. We investigate commutativity in prime and semiprime rings admitting a derivation or an endomorphism which is scp on a nonzero right ideal.

Keywords

16W2016W2516U8016N60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 4 , 01 December 1994 , pp. 443 - 447
Copyright
Copyright © Canadian Mathematical Society 1994

References

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