Normal C-Algebras

Abstract

The concept of normal C-algebras is introduced. The class of all normal C-algebras is characterized in terms of minimal prime ideals. Direct products of normal C-algebras are studied. A congruence is introduced in terms of multiplicative sets and an equivalency between the normalities of C-algebras and the respective quotient algebras is observed.

ANNULETS AND Α-Ideals OF C-Algebras

“…These ideals are exclusively studied in [13] for normal C-algebras. We now characterize Spec α (A) with the help of the ideals of the form O(P ).…”

“…In [12], the concept of annihilator ideals is introduced in C-algebras. Later the notion of normal C-algebras [13] is introduced and characterized in terms of annulets and minimal prime ideals.…”