On *-Essential ideals and biideals of rings with involution

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.

Mathematics Subject Classification (1991): 16W10.

Key words: Involution ring; essential ideal; essential biideal; direct
summand; subdirectly irreducible.

Quaestiones Mathematicae 26(2003), 67-72