On rings whose flat modules form a Grothendieck category
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 small injective, simple-injective and quasi-Frobenius rings.
On subgroups of GL2 over non-commutative local rings which are normalized by elementary matrices.
On the existence of projective and quasi-projective covers
On the Freyd categories of an additive category.
On Two-Sided Right Ideals in Chain Domains.
Ore sets in enveloping algebras
Perfect rings for which the converse of Schur's lemma holds.
If M is a simple module over a ring R then, by the Schur's lemma, the endomorphism ring of M is a division ring. However, the converse of this result does not hold in general, even when R is artinian. In this short note, we consider perfect rings for which the converse assertion is true, and we show that these rings are exactly the primary decomposable ones.
Preradicals and generalizations of - modules. I.
Preradicals and generalizations of - modules. II.
Prime PI-rights in which finitely generated right ideals are principal.
modules and rings
QF-1 Algebras of Local-Colocal Type.
QF-3 rings.
QF-3 rings with ascending chain condition on annihilators.
Quasi-Frobenius modules.
Quasi-Frobenius-Algebren und lokal vollständige Durchschnitte.
Quotient rings of group rings
Radical properties of perfect modules.