Annihilators for the class group of a cyclic field of prime power degree
Annihilators of the class group of a compositum of quadratic fields
This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.
Arithmetic of block monoids
Arithmetic of non-principal orders in algebraic number fields
Let be an order in an algebraic number field. If is a principal order, then many explicit results on its arithmetic are available. Among others, is half-factorial if and only if the class group of has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.
Arithmetical characterizations of divisor class groups. II.
Arithmetik in Frobeniuserweiterungen.
Arithmetische Eigenschaften hyperbolischer Klassen elliptischer Modulgruppen.
Artin's conjecture in algebraic number fields and a related question concerning units