On endomorphisms and quasi-endomorphisms of torsionfree groups
On Erdős-Ginzburg-Ziv inverse theorems
On extending functions to solutions of some functional equations.
On extending functions to solutions of some functional equations. (Short Communications).
On extension of pseudo-integers.
On extensions of bounded subgroups in Abelian groups
It is well-known that every bounded Abelian group is a direct sum of finite cyclic subgroups. We characterize those non-trivial bounded subgroups of an infinite Abelian group , for which there is an infinite subgroup of containing such that has a special decomposition into a direct sum which takes into account the properties of , and which induces a natural decomposition of into a direct sum of finite subgroups.
On extensions of primary almost totally projective abelian groups
Suppose is a subgroup of the reduced abelian -group . The following two dual results are proved: If is countable and is an almost totally projective group, then is an almost totally projective group. If is countable and nice in such that is an almost totally projective group, then is an almost totally projective group. These results somewhat strengthen theorems due to Wallace (J. Algebra, 1971) and Hill (Comment. Math. Univ. Carol., 1995), respectively.
On factorizations of finite Abelian groups which admit replacement of a Z-set by a subgroup.
On ...-filtered vector spaces and their application to abelian p-groups: I.
On finite commutative IP-loops with elementary abelian inner mapping groups of order
We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order are centrally nilpotent of class at most two.
On Frobenius groups containing an element of order 3.
On Fuchs' problem 76.
On general concept of basic subgroups
On general concept of basic subgroups. II.
On group topologies and idempotents in weak almost periodic compactifications.
On groups in which idempotent reducts form a chain
On homomorphisms of groups of integer-valued functions.
On invariants related to non-unique factorizations in block monoids and rings of algebraic integers
On isomorphic commutative group algebras of Abelian groups with -projective quotients.
On isomorphism of quasi-isomorphic torsion free Abelian groups