A Note on Nilpotent Jordan Rings

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1987 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 30, pages 399-401 (issn: 0008-4395, eissn: 1496-4287,

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Authors: Martindale, Wallace S. III;

doi: 10.4153/cmb-1987-059-1

A Note on Nilpotent Jordan Rings

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Abstract

AbstractLet R be a 2-torsion free associative ring with involution. It is shown that if the set S of symmetric elements is nilpotent as a Jordan ring then R is nilpotent.

Related Organizations

University College London
United Kingdom
University of Massachusetts Amherst
United States

Keywords

Jordan ring, Jordan structures associated with other structures, nilpotent, Rings with involution; Lie, Jordan and other nonassociative structures, symmetric elements, ring with involution

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