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Maps characterized by
action on zero products
M.A. Chebotar, Wen-Fong Ke and Pjek-Hwee Lee |
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Vol. 216 (2004), No. 2, 217–228
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Abstract |
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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. |
Milestones
Received: 19 February 2003
Revised: 13 June 2003
Published: 1 October 2004
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Authors |
| M.A. Chebotar | |
| Department of Mechanics and
Mathematics Tula State University Tula Russia |
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| Wen-Fong Ke | |
| Department of Mathematics National Cheng Kung University Tainan Taiwan |
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| Pjek-Hwee Lee | |
| Department of Mathematics National Taiwan University Taipei Taiwan |
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