| Title:
|
Relative block semigroups and their arithmetical applications (English) |
| Author:
|
Halter-Koch, Franz |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
373-381 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
factorization problems |
| Keyword:
|
Krull semigroups |
| MSC:
|
11R27 |
| MSC:
|
11R47 |
| MSC:
|
20M14 |
| idZBL:
|
Zbl 0769.11038 |
| idMR:
|
MR1209280 |
| . |
| Date available:
|
2009-01-08T17:56:33Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118506 |
| . |
| Reference:
|
[1] Geroldinger A.: Über nicht-eindeutige Zerlegungen in irreduzible Elemente.Math. Z. 197 (1988), 505-529. Zbl 0618.12002, MR 0932683 |
| Reference:
|
[2] Geroldinger A., Halter-Koch F.: Non-unique factorizations in block semigroups and arithmetical applications.Math. Slov., to appear. Zbl 0765.11045, MR 1202179 |
| Reference:
|
[3] Geroldinger A., Halter-Koch F.: Realization Theorems for Krull Semigroups.Semigroup Forum 44 (1992), 229-237. MR 1141841 |
| Reference:
|
[4] Halter-Koch F.: Halbgruppen mit Divisorentheorie.Expo. Math. 8 (1990), 27-66. Zbl 0698.20054, MR 1042201 |
| Reference:
|
[5] Halter-Koch F.: Ein Approximationssatz für Halbgruppen mit Divisorentheorie.Result. Math. 19 (1991), 74-82. Zbl 0742.20060, MR 1091957 |
| Reference:
|
[6] 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. MR 1129580 |
| Reference:
|
[7] Kaczorowski J.: Some remarks on factorization in algebraic number fields.Acta Arith. 43 (1983), 53-68. Zbl 0526.12006, MR 0730848 |
| Reference:
|
[8] Narkiewicz N.: Finite abelian groups and factorization problems.Coll. Math. 42 (1979), 319-330. Zbl 0514.12004, MR 0567570 |
| Reference:
|
[9] Narkiewicz N.: Number Theory.World Scientific, 1983. Zbl 1115.11002 |
| Reference:
|
[10] Narkiewicz N.: Elementary and Analytic theory of algebraic numbers.Springer, 1990. Zbl 1159.11039, MR 1055830 |
| . |
