On Commutativity and Strong Commutativity-Preserving Maps

Howard E. Bell, Mohamad Nagy Daif

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Source: Crossref

Published: Dec 1, 1994

DOI: 10.4153/cmb-1994-064-x

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Source abstract

Abstract 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.

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