Relative block semigroups and their arithmetical applications
Commentationes Mathematicae Universitatis Carolinae (1992)
- Volume: 33, Issue: 3, page 373-381
- ISSN: 0010-2628
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topHalter-Koch, Franz. "Relative block semigroups and their arithmetical applications." Commentationes Mathematicae Universitatis Carolinae 33.3 (1992): 373-381. <http://eudml.org/doc/247398>.
@article{Halter1992,
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.},
author = {Halter-Koch, Franz},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {factorization problems; Krull semigroups; lengths of factorizations; relative block semigroups; Krull semigroups},
language = {eng},
number = {3},
pages = {373-381},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Relative block semigroups and their arithmetical applications},
url = {http://eudml.org/doc/247398},
volume = {33},
year = {1992},
}
TY - JOUR
AU - Halter-Koch, Franz
TI - Relative block semigroups and their arithmetical applications
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 3
SP - 373
EP - 381
AB - 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.
LA - eng
KW - factorization problems; Krull semigroups; lengths of factorizations; relative block semigroups; Krull semigroups
UR - http://eudml.org/doc/247398
ER -
References
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- Halter-Koch F., Müller W., Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields, J. Reine Angew. Math. 421 (1991), 159-188. (1991) MR1129580
- Kaczorowski J., Some remarks on factorization in algebraic number fields, Acta Arith. 43 (1983), 53-68. (1983) Zbl0526.12006MR0730848
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- Narkiewicz N., Elementary and Analytic theory of algebraic numbers, Springer, 1990. Zbl1159.11039MR1055830
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