1,721,107 research outputs found

    ON MAPS PRESERVING PRODUCTS

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    Maps preserving certain algebraic properties of elements are often studied in Functional Analysis and Linear Algebra. The goal of this paper is to discuss the relationships among these problems from the ring-theoretic point of view

    NOTE ON GROUP IDENTITIES IN DIVISION RINGS

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    Let D be a division ring whose group of units satisfies a nontrivial group identity w. Let α be the sum of positive degrees of indeterminates occurring in w. If the center of D contains more than 3α elements, then D is commutative
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