On functional identities in left ideals of prime rings

K.I. Beidar Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan

S.C. Chang Department of Mathematics, National Changhua University of Education, Changhua, Taiwan

M.A. Chebotar Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

Y. Fong Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan

Abstract

In the present paper we describe surjective Lie and Jordan maps onto left ideals of prime noncommutative rings. Further, we describe bijective linear maps of left ideals of centrally closed prime algebras preserving commutativity.

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On functional identities in left ideals of prime rings

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On functional identities in left ideals of prime rings

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