Analytic and arithmetic theory of semigroups with divisor theory

Alfred Geroldinger; Jerzy Kaczorowski

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Relative block semigroups and their arithmetical applications

Franz Halter-Koch (1992)

Commentationes Mathematicae Universitatis Carolinae

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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.