Quadratic functionals on modules over *-rings

Dijana Ilišević

doi:10.1556/sscmath.42.2005.1.8

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 42: Issue 1

Quadratic functionals on modules over _*-rings

Author:

Dijana Ilišević

Dijana Ilišević Department of Mathematics, University of Zagreb Bijenička 30, P.O. Box 335, 10002 Zagreb, Croatia

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Pages:: 95–105

Online Publication Date:: 22 Jul 2005

Publication Date:: 01 Jan 2005

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.42.2005.1.8

Keywords:: prime ring; prime ring; prime ring; *-ring; simple ring; 2-torsion free ring; semi-prime ring; module; quadratic functional; sesquilinear form; symmetric weak sesquilinear form; Jordan *-derivation

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The aim of this paper is to give a solution to the problem of the representability of quadratic functionals, acting on modules over _*-rings, by symmetric (weak) sesquilinear forms. The obtained results generalize the one given by P. Šemrl and B. Zalar to a larger class of _*-rings.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

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János PACH (Rényi Institute of Mathematics)
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Martin TANCER (Charles University, Prague)
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Studia Scientiarum Mathematicarum Hungarica
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