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.
Ein Beitrag zur abstrakten Primzahltheorie.
Ein gruppentheoretisches Kriterium für die Lösbarkeit der Funktionalgleichung f(x + y) =F(f(x),f(y))
Ein Mittelwertsatz bei dreidimensionalen Gitterpunktproblemen
Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen.
Eine gruppentheoretische Methode in der Musiktheorie
Einige Ergebnisse aus der Theorie der zyklisch erzeugten modularen Verbände
Elementary Abelian p-groups as Automorphism Groups of Infinite Groups. I.
Endomorphism algebras over large domains
The paper deals with realizations of R-algebras A as endomorphism algebras End G ≅ A of suitable R-modules G over a commutative ring R. We are mainly interested in the case of R having "many prime ideals", such as R = ℝ[x], the ring of real polynomials, or R a non-discrete valuation domain
Endomorphism kernel property for finite groups
A group has the endomorphism kernel property (EKP) if every congruence relation on is the kernel of an endomorphism on . In this note we show that all finite abelian groups have EKP and we show infinite series of finite non-abelian groups which have EKP.
Endomorphism representations of Zorn rings and subclasses of rings with enough idempotents.