| Title:
|
On directed groups with additional operations (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
11-17 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with a question concerning $d$-ideals of $d$-groups which was proposed by V. M. Kopytov and Z. J. Dimitrov. We shall also investigate a class of $d$-groups which is in a certain sense near to the class of all lattice ordered groups. (English) |
| Keyword:
|
$d$-ideals |
| Keyword:
|
$d$-group |
| Keyword:
|
directed group |
| Keyword:
|
lattice-ordered groups |
| Keyword:
|
torsion class |
| Keyword:
|
radical class |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0799.06027 |
| idMR:
|
MR1213828 |
| DOI:
|
10.21136/MB.1993.126020 |
| . |
| Date available:
|
2009-09-24T20:56:31Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126020 |
| . |
| Reference:
|
[1] L. Fuchs: Partially ordered algebraic systems.Pergamon Press, Oxford, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[2] W. C. Holland: Varieties of l-groups are torsion classes.Czechoslov. Math. J. 29 (1979), 11-12. Zbl 0432.06011, MR 0518135 |
| Reference:
|
[3] J. Jakubík: Radical classes and radical mappings of lattice ordered groups.Symposia Mathematica 31 (1977), 451-477, Academic Press, New York-London. MR 0491397 |
| Reference:
|
[4] J. Jakubík: On directed interpolation groups.Czechoslov. Math. J. 40 (1990), 648-658. MR 1084900 |
| Reference:
|
[5] V. M. Kopytov: Lattice ordered groups.Moskva, 1984. (In Russian.) Zbl 0567.06011, MR 0806956 |
| Reference:
|
[6] V. M. Kopytov Z. J. Dimitrov: On directed groups.Sibir. matem. zh. 30 no. 3 (1989), 78-86. (In Russian.) MR 1043436 |
| Reference:
|
[7] J. Martinez: Torsion theory for lattice ordered groups.Czechoslov. Math. J. 25 (1975), 284-299. Zbl 0321.06020, MR 0389705 |
| . |
