Name: Algebraic Algebras with Involution
Creator: Susan Montgomery
Keywords: Conditions on elements, 4. Education, Rings with involution; Lie, Jordan and other nonassociative structures, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Algebraic algebras with involution

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1972Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 31, page 368 (issn: 0002-9939,

Authors: Susan Montgomery;

doi: 10.2307/2037533 , 10.1090/s0002-9939-1972-0288149-0

Algebraic Algebras with Involution

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Abstract

The following theorem is proved: Let R R be an algebra with involution over an uncountable field F F . Then if the symmetric elements of R R are algebraic, R R is algebraic.

Keywords

Conditions on elements, Rings with involution; Lie, Jordan and other nonassociative structures

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