-radicals and -radicals in the category of modules.
The atomicity of a "lattice" of hereditary annihilator torsions
The closure of radical classes under finite subdirect products
The coefficient ring of the skew group ring
The hulls of semiprime rings
The irreducible components of the nilpotent associative algebras.
The aim of this work is to describe the irreducible components of the nilpotent complex associative algebras varieties of dimension 2 to 5 and to give a lower bound of the number of these components in any dimension.
The Jacobson radical of edomorphism rings of totally projective groups of finite type.
The Jacobson radical of some endomorphism rings.
The Krull radical, k-primitive rings, and critical rings.
The Levitzki Radical for Omega-groups
The Levitzki radical for -groups.
The nil radical of an Archimedean partially ordered ring with positive squares
Let be an Archimedean partially ordered ring in which the square of every element is positive, and the set of all nilpotent elements of . It is shown that is the unique nil radical of , and that is locally nilpotent and even nilpotent with exponent at most when is 2-torsion-free. is without non-zero nilpotents if and only if it is 2-torsion-free and has zero annihilator. The results are applied on partially ordered rings in which every element is expressed as with positive ,...
The nil-degree of a torsion-free Abelian group
The nilpotency of left noetherian radical rings
The nilpotency of near-rings
The radicalness of polynomial rings over nil rings.
The rings which are Boolean. II.
Torsion modules behaving like torsion Abelian groups
Transfinite nilpotence defines a trivial radical
Two results concerning symmetric bi-derivations on prime rings.