On reducible and decomposable representations of orders.
On reflexivity of representations of local Commutative Algebras
On regular elements in an incline.
On regular endomorphism rings of topological Abelian groups
We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups for which is regular is given.
On regular presheaves and regular semi-categories
On regular rings
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 relative homotopy groups of modules.
On restrictions of generic modules of tame algebras
Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.
On restrictions of indecomposables of tame algebras
We continue the study of ditalgebras, an acronym for "differential tensor algebras", and of their categories of modules. We examine extension/restriction interactions between module categories over a ditalgebra and a proper subditalgebra. As an application, we prove a result on representations of finite-dimensional tame algebras Λ over an algebraically closed field, which gives information on the extension/restriction interaction between module categories of some special algebras Λ₀, called convex...
On right ideals and derivations in prime rings with Engel condition
On rings all of whose modules are retractable
Let be a ring. A right -module is said to be retractable if whenever is a non-zero submodule of . The goal of this article is to investigate a ring for which every right R-module is retractable. Such a ring will be called right mod-retractable. We proved that The ring is right mod-retractable if and only if each is a right mod-retractable ring for each , where is an arbitrary finite set. If is a mod-retractable ring then is a mod-retractable ring.
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 satisfying certain polynomial identities.
On rings whose centers are Galois extensions