The Cauchy extension of an ordered abelian group realized by -valuations
Acta Mathematica et Informatica Universitatis Ostraviensis (2002)
- Volume: 10, Issue: 1, page 61-69
- ISSN: 1804-1388
Access Full Article
top
How to cite
topKontolatou, Angeliki. "The Cauchy extension of an ordered abelian group realized by $r$-valuations." Acta Mathematica et Informatica Universitatis Ostraviensis 10.1 (2002): 61-69. <http://eudml.org/doc/23865>.
@article{Kontolatou2002,
author = {Kontolatou, Angeliki},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {directed abelian po-group; topological group; Cauchy completion; -system of ideals},
language = {eng},
number = {1},
pages = {61-69},
publisher = {University of Ostrava},
title = {The Cauchy extension of an ordered abelian group realized by $r$-valuations},
url = {http://eudml.org/doc/23865},
volume = {10},
year = {2002},
}
TY - JOUR
AU - Kontolatou, Angeliki
TI - The Cauchy extension of an ordered abelian group realized by $r$-valuations
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2002
PB - University of Ostrava
VL - 10
IS - 1
SP - 61
EP - 69
LA - eng
KW - directed abelian po-group; topological group; Cauchy completion; -system of ideals
UR - http://eudml.org/doc/23865
ER -
References
top- Arnautov V. S. Glavatsky, Mikhalev A., Introduction to the theory of topological rings and modules, Marcel Dekker, Inc. 1996. (1996) MR1368852
- Aubert K. E., Divisors of finite character, Annali di Matem. Pura ed appl. 33, (1983), 327-361. (1983) Zbl0533.20034MR0725032
- Borevich Z. I., Shafarevich I. R., Number Theory, Academic Press, New York, 1966. (1966) Zbl0145.04902MR0195803
- Fuchs L.,, Partially Ordered Algebraic Systems, Pergamon Press, Oxford - London - New York - Paris, 1963. (1963) Zbl0137.02001MR0171864
- Halter-Koch F., Ideal Systems, Marcel Dekker, Inc, 1998. (1998) Zbl0953.13001MR1828371
- Jaffaгd P., Les Systèmes ď idéaux, Dunod, Paris, 1960. (1960)
- James I., Topological and Uniform Spaces, Springer - Verlag, Beгlin, 1987. (1987) Zbl0625.54001MR0884154
- Močkoř J., Kontolatou A., Quasi-divisors Theory of Partly Ordered Groups, Grazer Math. Ber. 318, (1992), 81-98. (1992) MR1227404
- Močkoř J., Kontolatou A., Groups with Quasi-divisors Theory, Comment. Math. Univ. Sanc. Pauli, 42, (1993), 23-36. (1993) MR1223185
- Močkoř J., Topological characterization of ordered groups with quasi-divisor theory, to appear in Czech J. Math. MR1923265
- Skula L., Divisorentheorie einer Halbgrouppe, Math. Z., 114, (1970), 113-120. (1970) MR0262401
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.