Maps characterized by action on zero products

M. A. Chebotar; Wen Fong Ke; Pjek Hwee Lee

doi:10.2140/pjm.2004.216.217

Maps characterized by action on zero products

M. A. Chebotar, Wen Fong Ke, Pjek Hwee Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

99 Citations (Scopus)

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.

Original language	English
Pages (from-to)	217-228
Number of pages	12
Journal	Pacific Journal of Mathematics
Volume	216
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2004.216.217
Publication status	Published - 2004 Oct

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2140/pjm.2004.216.217

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title = "Maps characterized by action on zero products",

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.",

author = "Chebotar, {M. A.} and Ke, {Wen Fong} and Lee, {Pjek Hwee}",

year = "2004",

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JO - Pacific Journal of Mathematics

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Maps characterized by action on zero products

Abstract

All Science Journal Classification (ASJC) codes

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