Jordan elementary maps on rings

    Authors

    P. T. Li;W. Jing

    Comments

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    Abbreviated Journal Title

    Linear Alg. Appl.

    Keywords

    Jordan elementary maps; additivity; rings; STANDARD OPERATOR-ALGEBRAS; MAPPINGS; Mathematics, Applied; Mathematics

    Abstract

    Let R be a 2-torsion free prime ring containing a non-trivial idempotent and R' be an arbitrary ring. Suppose that M:R-- > R' and M*:R'-- > R are surjective maps such that M(xM*(y)x) = M(x)yM(x), M*(yM(x)y) = M*(y)xM*(y) for all x is an element of R, y is an element of R'. Then both M and M* are additive. In particular, a bijective map phi: R-- >R' satisfying phi(xyx) = phi(X)phi(y)phi(x) for all x, y is an element of R is additive. (C) 2004 Elsevier Inc. All rights reserved.

    Journal Title

    Linear Algebra and Its Applications

    Volume

    382

    Publication Date

    1-1-2004

    Document Type

    Article

    Language

    English

    First Page

    237

    Last Page

    245

    WOS Identifier

    WOS:000220946200015

    ISSN

    0024-3795

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