Franz Halter-Koch
Relative block semigroups and their arithmetical applications

Comment.Math.Univ.Carolinae 33,3 (1992) 373-381.

Abstract:We introduce relative block semigroups as an appropriate tool for the study of certain phenomena of non-unique factorizations in residue classes. Thereby the main interest lies in rings of integers of algebraic number fields, where certain asymptotic results are obtained.

Keywords: factorization problems, Krull semigroups
AMS Subject Classification: 11R27, 11R47, 20M14