Das Gewicht einer Butlergruppe.
Decidability and undecidability of theories of abelian groups with predicates for subgroups
Decompositions of local rigid ACD groups
We study direct decompositions of extensions of rigid completely decomposable groups by finite primary groups. These decompositions are unique and can be found by finite procedures. By passing to certain quotients the determination of the direct decompositions is made more efficient.
Der Defkt endlicher abelscher Gruppen.
Der Torsionstyp nilpotenter Gruppen
Diamond and λ-systems
Die irreduziblen Darstellungen abelscher Gruppen über beliebigen Körpern
Die Struktur kartesischer Produkte ganzer Zahlen modulo kartesische Produkte ganzer Zahlen.
Differences in sets of lengths of Krull monoids with finite class group
Let be a Krull monoid with finite class group where every class contains some prime divisor. It is known that every set of lengths is an almost arithmetical multiprogression. We investigate which integers occur as differences of these progressions. In particular, we obtain upper bounds for the size of these differences. Then, we apply these results to show that, apart from one known exception, two elementary -groups have the same system of sets of lengths if and only if they are isomorphic.
Direct decompositions and basic subgroups in commutative group rings
An attractive interplay between the direct decompositions and the explicit form of basic subgroups in group rings of abelian groups over a commutative unitary ring are established. In particular, as a consequence, we give a simpler confirmation of a more general version of our recent result in this aspect published in Czechoslovak Math. J. (2006).
Direct decompositions of uniform groups
Uniform groups are extensions of rigid completely decomposable groups by a finite direct sum of cyclic primary groups all of the same order. The direct decompositions of uniform groups are completely determined by an algorithm that is realised by a MAPLE procedure.
Discretely normed Abelian groups.
Duality and Completions of Linearly Topologized Modules.