On Direct Summands of A-Separable R-Modules.
On endomorphism algebras over admissible Dedekind domains
On Endomorphism Rings of Primary Abelian Groups.
On endomorphisms and quasi-endomorphisms of torsionfree groups
On extending functions to solutions of some functional equations.
On extending functions to solutions of some functional equations. (Short Communications).
On Frobenius groups containing an element of order 3.
On p-Local Abelian Groups with Decomposititon Bases.
On purity and quasi-equality of Abelian groups.
On regular automorphisms of order 3 and Frobenius pairs.
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 some subgroups of infinite rank Butler groups
On the Cayley-Hamilton property in abelian groups.
On the Functional Equation
On the nontrivial solvability of systems of homogeneous linear equations over in ZFC
Motivated by the paper by H. Herrlich, E. Tachtsis (2017) we investigate in ZFC the following compactness question: for which uncountable cardinals , an arbitrary nonempty system of homogeneous -linear equations is nontrivially solvable in provided that each of its subsystems of cardinality less than is nontrivially solvable in ?
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...
Prescribing endomorphism algebras. The cotorsion-free case
Remarks on duality for -groups. I. Products and coproducts
Rings all of whose additive endomorphisms are left multiplications.
Rot-quasigroups as isotopes of Abelian groups