On *-Essential Ideals and Biideals of Rings with Involution

Original Articles

On *-Essential Ideals and Biideals of Rings with Involution

Published in: Quaestiones Mathematicae
Volume 26 , issue 1 , 2003 , pages: 67–72
DOI: 10.2989/16073600309486044
Author(s): D.I.C. Mendes
Keywords: INVOLUTION RING , ESSENTIAL IDEAL , ESSENTIAL BIIDEAL , DIRECT SUMMAND , SUBDIRECTLY , IRREDUCIBLE
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Abstract

Let R be a ring with involution *. We describe the structure of R, when R has no proper *-essential *-ideals (*-biideals) and also when R has a *-essential minimal *-biideal.
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