Trigonometrische Reihen über multiplikativen Zahlenmengen

Ohne Zusammenfassung     

Trigonometrische Reihen Über Multiplikativen Zahlenmengen. II

Ohne ZusammenfassungTheodor Schneider zum 65. Geburtstag gewidmet     

Zur multiplikativen Archimedizität in projektiven ebenen

We determine the local-Archimedean orderings of projective planes over ternary rings whose multiplicative loops of positive elements are Archimedean. In particular, we prove that a projective plane over an Archimedean, linear ternary ring with associative multiplication is Archimedean.     

Über algebraische Relationen zwischen additiven und multiplikativen Funktionen

Ohne Zusammenfassung

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Basische Elemente in Steinschen Moduln

Corresponding to the case of finitely generated modules over noetherian rings we prove existence theorems for basic elements in Stein modules, and give some applications.

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Die Ergebnisse dieser Arbeit sind enthalten in der Habilitationsschrift des Verfassers.     

Topologisch linksengelsche Elemente

Let G be a topological group. An element g∈G is called a topologically left Engel (t.l.e.) element iff the iterated commutators [...[[h,g],g]...,g] converge to 1 for every h∈G. This concept was introduced by V.P. Platonov, who asked various questions about these elements, e.g.: When do they form a subgroup? Especially, when does a group entirely consist of t.l.e. elements? What about the general properties of these elements? The main part of this paper deals with Lie groups, where the t.l.e. elements can be described completely. With the aid of these results, answers to Platonov's questions are given for many classes of locally compact groups.     

Über eine arithmetische Charakterisierung der multiplikativen,fast-geraden Funktionen

Concerning the characterization ofmultiplicative almost-even arithmetical functions (Theorems of ELLIOTT, DABOUSSI, DELANGE) one of the assumptions is weakened. Moreover, counterexamples are given, showing that an exact analogue of the HILDEBRAND-SPILKER characterization ofadditive almost-even functions is not true. Finally two results of SCHWARZ- SPILKER are proved under weaker assumptions.     

Zur Konstruktion basischer Elemente

Ohne ZusammenfassungDie Ergebnisse dieser Arbeit entstammen der Habilitationsschrift des Verfassers.     

Engelsche Elemente Noetherscher Gruppen

Ohne Zusammenfassung