On Regular Rings and Self-Injective Rings.
On Regular Rings and Self-injective Rings, iv
On Regular Rings and V-Rings.
On ...-regular rings with no infinite trivial subring.
On regular ring-semigroups and semirings
On regular semigroup rings.
On rings close to regular and -injectivity
The following results are proved for a ring : (1) If is a fully right idempotent ring having a classical left quotient ring which is right quasi-duo, then is a strongly regular ring; (2) has a classical left quotient ring which is a finite direct sum of division rings iff is a left -ring having a reduced maximal right ideal and satisfying the maximum condition on left annihilators; (3) Let have the following properties: (a) each maximal left ideal of is either a two-sided ideal...
On rings with a unique proper essential right ideal
Right ue-rings (rings with the property of the title, i.e., with the maximality of the right socle) are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a regular V-ring with the socle being a maximal right ideal, and if and only if the intrinsic topology of R is non-discrete Hausdorff and dense proper right ideals are semisimple. It is proved that if R is a right self-injective right ue-ring (local right ue-ring), then R is never semiprime and is Artin semisimple...
On rings with zero total.
On Roth's pseudo equivalence over rings.
On semiabelian -regular rings.
On the construction and the realization of wild monoids
We develop elementary methods of computing the monoid for a directly-finite regular ring . We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.
On the endomorphism ring of a semi-injective module.
On the normal ideals of exchange rings.
On the regularity of group algebras
On the weak regularity of semigroup rings.
On unit-regular ideals.
On -rings and unit-regular rings
On von Neumann regular rings - II.
On von Neumann regular rings. VII.