On a class of abelian p-groups.
On a class of Butler groups.
On a class of locally completely decomposable Abelian groups
On a class of torsionfree Abelian groups [Abstract of thesis]
On a variation of Sands' method.
On Butler -groups decomposing over two base elements
A -group is a sum of a finite number of torsionfree Abelian groups of rank , subject to two independent linear relations. We complete here the study of direct decompositions over two base elements, determining the cases where the relations play an essential role.
On Cartesian Powers of a Rational Group.
On chains of free modules over valuation domains
On countable extensions of primary abelian groups
It is proved that if is an abelian -group with a pure subgroup so that is at most countable and is either -totally projective or -summable, then is either -totally projective or -summable as well. Moreover, if in addition is nice in , then being either strongly -totally projective or strongly -summable implies that so is . This generalizes a classical result of Wallace (J. Algebra, 1971) for totally projective -groups as well as continues our recent investigations in (Arch....
On decomposable pseudofree groups.
On direct decompositions of torsion-free abelian groups of finite rank
On Direct Summands of A-Separable R-Modules.
On direct sums of -groups
A necessary and sufficient condition is given for the direct sum of two -groups to be (quasi-isomorphic to) a -group. A -group is a torsionfree Abelian group that can be realized as the quotient of a finite direct sum of rank 1 groups modulo a pure subgroup of rank 1.
On elongations of totally projective -groups by -projective -groups
On Endomorphism Rings of Primary Abelian Groups.
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 factorizations of finite Abelian groups which admit replacement of a Z-set by a subgroup.
On Fuchs' problem 76.
On general concept of basic subgroups