On matrix rings over unit-regular rings.
On *-modules generating the injectives
On modules with Le-decomposition.
On p.p.-rings which are reduced.
On products of singular elements
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 rings with zero divisors. Strong -groups
On simple distributively generated near-rings
On the binary system of factors of formal matrix rings
We investigate the formal matrix ring over defined by a certain system of factors. We give a method for constructing formal matrix rings from non-negative integer matrices. We also show that the principal factor matrix of a binary system of factors determine the structure of the system.
On the endomorphism ring of a semi-injective module.
On the Primitivity of Certain Ore Extensions.
On the Radicals of Structural Matrix Rings.
On the representation type of triangular matrix algebras over special algebras
On unit-regular ideals.
On weakened -skew Armendariz rings
In this note, for a ring endomorphism and an -derivation of a ring , the notion of weakened -skew Armendariz rings is introduced as a generalization of -rigid rings and weak Armendariz rings. It is proved that is a weakened -skew Armendariz ring if and only if is weakened -skew Armendariz if and only if is weakened -skew Armendariz ring for any positive integer .
On weakly reversible rings.
Outer automorphisms of endomorphism algebras
Commutative rings over which no endomorphism algebra has an outer automorphism are studied.
Peak reductions and waist reflection functors
Power-cancellation of CW-complexes with few cells.
In this paper we use the fact that the rings of integer matrices have the power-substitution property in order to obtain a power-cancellation property for homotopy types of CW-complexes with one cell in dimensions 0 and 4n and a finite number of cells in dimension 2n.
Prescribing endomorphism algebras of -free modules
It is a well-known fact that modules over a commutative ring in general cannot be classified, and it is also well-known that we have to impose severe restrictions on either the ring or on the class of modules to solve this problem. One of the restrictions on the modules comes from freeness assumptions which have been intensively studied in recent decades. Two interesting, distinct but typical examples are the papers by Blass [1] and Eklof [8], both jointly with Shelah. In the first case the authors...