| Title:
|
The Cauchy extension of an ordered abelian group realized by $r$-valuations (English) |
| Author:
|
Kontolatou, A. |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
10 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
61-69 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| MSC:
|
22A05 |
| MSC:
|
22A26 |
| idZBL:
|
Zbl 1035.22001 |
| idMR:
|
MR1943024 |
| . |
| Date available:
|
2009-01-30T09:09:28Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120586 |
| . |
| Reference:
|
[1] Arnautov V. S. Glavatsky, Mikhalev A.: Introduction to the theory of topological rings and modules.Marcel Dekker, Inc. 1996. MR 1368852 |
| Reference:
|
[2] Aubert K. E.: Divisors of finite character.Annali di Matem. Pura ed appl. 33, (1983), 327-361. Zbl 0533.20034, MR 0725032 |
| Reference:
|
[3] Borevich Z. I., Shafarevich I. R.: Number Theory.Academic Press, New York, 1966. Zbl 0145.04902, MR 0195803 |
| Reference:
|
[4] Fuchs L.,: Partially Ordered Algebraic Systems.Pergamon Press, Oxford - London - New York - Paris, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[5] Halter-Koch F.: Ideal Systems.Marcel Dekker, Inc, 1998. Zbl 0953.13001, MR 1828371 |
| Reference:
|
[6] Jaffaгd P.: Les Systèmes ď idéaux.Dunod, Paris, 1960. |
| Reference:
|
[7] James I.: Topological and Uniform Spaces.Springer - Verlag, Beгlin, 1987. Zbl 0625.54001, MR 0884154 |
| Reference:
|
[8] Močkoř J., Kontolatou A.: Quasi-divisors Theory of Partly Ordered Groups.Grazer Math. Ber. 318, (1992), 81-98. MR 1227404 |
| Reference:
|
[9] Močkoř J., Kontolatou A.: Groups with Quasi-divisors Theory.Comment. Math. Univ. Sanc. Pauli, 42, (1993), 23-36. MR 1223185 |
| Reference:
|
[10] Močkoř J.: Topological characterization of ordered groups with quasi-divisor theory.to appear in Czech J. Math. MR 1923265 |
| Reference:
|
[11] Skula L.: Divisorentheorie einer Halbgrouppe.Math. Z., 114, (1970), 113-120. MR 0262401 |
| . |
