Vol. 216, No. 2, 2004

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M.A. Chebotar & Wen-Fong Ke & Pjek-Hwee Lee

Abstract

For prime rings containing nontrivial idempotents, we describe the bijective additive maps which preserve zero products. Also, we describe the additive maps which behave like derivations when acting on zero products.

Authors
M.A. Chebotar
Department of Mechanics and Mathematics
Tula State University
Tula
Russia
Wen-Fong Ke
Department of Mathematics
National Cheng Kung University
Tainan
Taiwan
Pjek-Hwee Lee
Department of Mathematics
National Taiwan University
Taipei
Taiwan