| Title:
|
Convexities of lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
59-67 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of $d$-groups. (English) |
| Keyword:
|
lattice ordered group |
| Keyword:
|
direct product |
| Keyword:
|
convexity of lattice ordered groups |
| Keyword:
|
convex $\ell$-subgroup |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0863.06013 |
| idMR:
|
MR1388175 |
| DOI:
|
10.21136/MB.1996.125936 |
| . |
| Date available:
|
2009-09-24T21:15:25Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125936 |
| . |
| Reference:
|
[1] P. Conrad: Torsion radicals of lattice ordered groups.Symposia Math. 31. Academic Press, New York-London, 1977, pp. 479-513. Zbl 0372.06011, MR 0465969 |
| Reference:
|
[2] Dao-Rong Ton: Product radical classes of l-groups.Czechoslovak Math. J. 42 (1992), 129-142. MR 1152176 |
| Reference:
|
[3] J. Jakubík: Radical classes and radical mappings of lattice ordered groups.Symposia Math. 31. Academic Press, New York-London, 1977, pp. 451-477. MR 0491397 |
| Reference:
|
[4] J. Jakubík: On convexities of lattices.Czechoslovak Math. J. 42 (1992), 325-330. MR 1179503 |
| Reference:
|
[5] J. Jakubík: On directed groups with additional operations.Math. Bohem. 118 (1993), 11-17. MR 1213828 |
| Reference:
|
[6] J. Jakubík: On convexities of d-groups.Czechoslovak Math. J. 44 (1994), 305-314. MR 1281025 |
| Reference:
|
[7] V. M. Kopytov, Z. J. Dimitrov: On directed groups.Sibirsk. Mat. Zh. SO (1989), 78-86. (In Russian.) Zbl 0714.06007, MR 1043436 |
| Reference:
|
[8] J. Martinez: Torsion theory of lattice ordered groups.Czechoslovak Math. J. 25 (1975), 284-299. MR 0389705 |
| Reference:
|
[9] R. Mlitz (ed.): General algebra 1980.Proc. Internat. Conf. Krems 1988. North Holland, Amsterdam-New York-Tokyo-Oxford, 1990. MR 1060341 |
| . |
