Modules Over Matrix Near-Rings and the ...-Radical.
Most abelian p-groups are determined by the Jacobson radical of their endomorphism rings.
Normal structure of the adjoint group in the radical rings .
On embedding of involution rings.
On Jacobson radical of a -semiring.
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 waists of right distributive rings.
Radicals Coinciding with the Von Neumann Regular Radical on Artinian Rings.
Radicals of semigroup rings of commutative semigroups.
Radicals of semigroup rings of orthogroups.
Radicals of symmetric cellular algebras
For a symmetric cellular algebra, we study properties of the dual basis of a cellular basis first. Then a nilpotent ideal is constructed. The ideal connects the radicals of cell modules with the radical of the algebra. It also yields some information on the dimensions of simple modules. As a by-product, we obtain some equivalent conditions for a finite-dimensional symmetric cellular algebra to be semisimple.
Range inclusion results for derivations on noncommutative Banach algebras
Let A be a Banach algebra, and let D : A → A be a (possibly unbounded) derivation. We are interested in two problems concerning the range of D: 1. When does D map into the (Jacobson) radical of A? 2. If [a,Da] = 0 for some a ∈ A, is Da necessarily quasinilpotent? We prove that derivations satisfying certain polynomial identities map into the radical. As an application, we show that if [a,[a,[a,Da]]] lies in the prime radical of A for all a ∈ A, then D maps into the radical. This generalizes a result...
Regular generalized adjoint semigroups of a ring.
The radicalness of polynomial rings over nil rings.
О групповых кольцах линейных групп
О правых идеалах кольца, близких к неймановским