Geodesic
Relative block semigroups and their arithmetical applications
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 373-381.

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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.
Classification : 11R27, 11R47, 20M14
Keywords: factorization problems; Krull semigroups 
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Halter-Koch, Franz. Relative block semigroups and their arithmetical applications. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 373-381. http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a0/