On strongly prime semiring.
On structure of certain periodic rings and near-rings.
On The Brown-McCoy Radical Of Group Rings
On the Brown-McCoy radical of group rings.
On the characterization of certain additive maps in prime -rings
Let be a noncommutative prime ring equipped with an involution ‘’, and let be the maximal symmetric ring of quotients of . Consider the additive maps and . We prove the following under some inevitable torsion restrictions. (a) If and are fixed positive integers such that for all and for all , then . (b) If for all , then . Furthermore, we characterize Jordan left -centralizers in semiprime rings admitting an anti-automorphism . As applications, we find the structure of...
On the Classification of Nilpotent Groups.
On the compactness of minimal spectrum
On the degree of nilpotency of the radical of relatively free algebras.
On the generalized hypercentralizer of a Lie ideal in a prime ring
On the Isomorphism Problem for Integral Group-Rings of Circle-Groups.
On the Jacobson radical and unit groups of group álgebras.
In this paper, we study the situation as to when the unit group U(KG) of a group algebra KG equals K*G(1 + J(KG)), where K is a field of characteristic p > 0 and G is a finite group.
On the Jacobson radical of graded rings.
On the Jacobson radical of graded rings
All commutative semigroups are described such that the Jacobson radical is homogeneous in each ring graded by .
On the Jacobson radical of strongly group graded rings
For any non-torsion group with identity , we construct a strongly -graded ring such that the Jacobson radical is locally nilpotent, but is not locally nilpotent. This answers a question posed by Puczyłowski.
On the nilpotency of the Jacobson radical of semigroup rings.
On the radical theory of involution algebras
On the radical theory of semirings.
On the radicals of near-rings with defect of distributivity.
On the Radicals of Structural Matrix Rings.
On the Structure of Certain PP-Rings.