| Title:
|
Non-unique factorizations in block semigroups and arithmetical applications (English) |
| Author:
|
Geroldinger, A. |
| Author:
|
Halter-Koch, Franz |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
42 |
| Issue:
|
5 |
| Year:
|
1992 |
| Pages:
|
641-661 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11R27 |
| MSC:
|
11R44 |
| MSC:
|
20M14 |
| idZBL:
|
Zbl 0765.11045 |
| idMR:
|
MR1202179 |
| . |
| Date available:
|
2009-09-25T10:44:23Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128623 |
| . |
| Reference:
|
[1] CARLITZ L.: A characterization of algebraic number fields with class number two.Proc. Amer. Math. Soc. 11 (1960), 391-392. Zbl 0202.33101, MR 0111741 |
| Reference:
|
[2] FUCHS L.: Infinite Abelian Groups.Academic Press, Address of publisher, 1970. Zbl 0209.05503, MR 0255673 |
| Reference:
|
[3] GEROLDINGER A.: Über nicht-eindeutige Zerlegungen in irreduzible Elemente.Math. Z. 197 (1988), 505-529. MR 0932683 |
| Reference:
|
[4] GEROLDINGER A.: Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern.Math. Z. 205 (1990), 159-162. Zbl 0721.11041, MR 1069491 |
| Reference:
|
[5] GEROLDINGER A.: Factorization of natural numbers in algebraic number fields.Acta Arith. 57 (1991), 365-373. Zbl 0729.11054, MR 1109993 |
| Reference:
|
[6] GEROLDINGER A., HALTER-KOCH F.: Realization Theorems for semigroups with divisor theory.Semigroup Forum 44 (1992), 229-237. Zbl 0751.20045, MR 1141841 |
| Reference:
|
[7] HALTER-KOCH F.: Halbgruppen mit Divisorentheorie.Exposition. Math. 8 (1990), 27-66. Zbl 0698.20054, MR 1042201 |
| Reference:
|
[8] HALTER-KOCH F.: A generalization of Davenport's constant and its arithmetical applications.Colloq. Math. 63 (1992), 203-210. Zbl 0760.11031, MR 1180633 |
| Reference:
|
[9] HALTER-KOCH F.: Typenhalbgruppen und Faktorisierungsprobleme.Resultate Math. 22 (1992), 545-559. Zbl 0769.11039, MR 1174924 |
| Reference:
|
[10] HALTER-KOCH F., MÜLLER W.: Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields.J. Heine Angew. Math. 421 (1991), 159-188. Zbl 0736.11064, MR 1129580 |
| Reference:
|
[11] KACZOROWSKI J.: Some remarks on factorization in algebraic number fields.Acta Arith. 43 (1983), 53-68. Zbl 0526.12006, MR 0730848 |
| Reference:
|
[12] NARKIEWICZ W.: Finite abelian groups and factorization problems.Colloq. Math. 42 (1979), 319-330. Zbl 0514.12004, MR 0567570 |
| Reference:
|
[13] NARKIEWICZ W.: Elementary and Analytic Theory of Algebraic Numbers.Springer, Address of Publisher, 1990. Zbl 0717.11045, MR 1055830 |
| Reference:
|
[14] NARKIEWICZ W.: Numbers with unique factorization in an algebraic number field.Acta Arith. 21 (1972), 313-322. Zbl 0215.07301, MR 0302611 |
| Reference:
|
[15] NARKIEWICZ W., SLIWA J.: Finite abelian groups and factorization problems, II.Colloq. Math. 46 (1982), 115-122. Zbl 1164.20358, MR 0672371 |
| Reference:
|
[16] SLIWA J.: Factorizations of distinct lenghts in algebraic number fields.Acta Arith. 31 (1976), 399-417. MR 0429830 |
| . |
