Minimal ideals of group algebras

Frames in right ideals of $C^*$-algebras

we investigate the problem of the existence of a frame forright ideals of a C*-algebra A, without the use of the Kasparov stabilizationtheorem. We show that this property can not characterize A as a C*-algebraof compact operators.

On the Separating Ideals of Some Vector-valued Group Algebras

Prime Ideals in Group Algebras Oe Polycyclic-by-finite Groups

Introduction Group algebras K[G] of poly cyclic-by-finite groups are easily-defined, interesting examples of right and left Noetherian rings. Since prime rings and prime ideals are the basic building blocks in the Goldie theory of Noetherian rings, the determination of the structure of the prime ideals of K[G] is certainly of importance. In a recent fundamental paper [8], Roseblade proved that ...

Radical of $cdot$-ideals in $PMV$-algebras

‎In this paper‎, ‎we introduce the notion of the radical of a $PMV$-algebra $A$ and we charactrize radical $A$ via elements of $A$‎. ‎Also‎, ‎we introduce the notion of the radical of a $cdot$-ideal in $PMV$-algebras‎. ‎Several characterizations of this radical is given‎. ‎We define the notion of a semimaximal $cdot$-ideal in a $PMV$-algebra‎. ‎Finally we show that $A/I$ has no nilpotent elemen...

Ideals of Subtraction Algebras

We introduce the notion of interval-valued fuzzy bi-ideals with respect to t-norm T ∗ and s-norm S∗ and investigate some of the properties. Also, the homomorphism image and inverse image are investigated. Mathematics Subject Classification: 06F35, 03G25, 03E72