On commuting generalized inverses of matrices and in associative rings.
On -rings
On feebly nil-clean rings
A ring is feebly nil-clean if for any there exist two orthogonal idempotents and a nilpotent such that . Let be a 2-primal feebly nil-clean ring. We prove that every matrix ring over is feebly nil-clean. The result for rings of bounded index is also obtained. These provide many classes of rings over which every matrix is the sum of orthogonal idempotent and nilpotent matrices.
On infinite periodic rings.
On periodic rings.
On products of singular elements
On rings with zero divisors. Strong -groups
On semiabelian -regular rings.
On separable extensions of group rings and quaternion rings.
On the compactness of minimal spectrum
On the rings on torsion-free groups
On the subgroups of completely decomposable torsion-free groups that are ideals in every ring
In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such groups.
On torsion-free periodic rings.