| Title:
|
On some completeness properties for lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
253-266 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 0835.06019 |
| idMR:
|
MR1331463 |
| DOI:
|
10.21136/CMJ.1995.128515 |
| . |
| Date available:
|
2009-09-24T09:46:52Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128515 |
| . |
| Reference:
|
[1] A. Bigard, K. Keimel, S. Wolfenstein: Groupes et anneaux réticulés, Lecture Notes in Mathematics 608.Springer Verlag, Berlin, 1977. MR 0552653 |
| Reference:
|
[2] G. J. M. H. Buskes: Disjoint sequences and completeness properties.Indag. Math (Proc. Netherl. Acad. Sci. A 88) 47 (1985), 11–19. Zbl 0566.46004, MR 0783002 |
| Reference:
|
[3] P. Conrad: Lattice ordered groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[4] P. Conrad: $K$-radical classes of lattice ordered groups.Algebra, Proc. Conf. Carbondale (1980), Lecture Notes in Mathematics 848, 1981, pp. 186–207. Zbl 0455.06010, MR 0613186 |
| Reference:
|
[5] M. Darnel: Closure operations on radicals of lattice ordered groups.Czechoslov. Math. J. 37 (1987), 51–64. MR 0875127 |
| Reference:
|
[6] L. Fuchs: Partially ordered algebraic systems.Oxford, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[7] W. C. Holland: Varieties of $\ell $-groups are torsion classes.Czechoslov. Math. J. 29 (1979), 11–12. MR 0518135 |
| Reference:
|
[8] J. Jakubík: Radical mappings and radical classes of lattice ordered groups.Symposia Math. 31, Academic Press, New York-London, 1977, pp. 451–477. MR 0491397 |
| Reference:
|
[9] J. Jakubík: Projectable kernel of a lattice ordered group.Universal algebra and applications, Banach Center Publ. Vol. 9, 1982, pp. 105–112. MR 0738807 |
| Reference:
|
[10] J. Jakubík: Kernels of lattice ordered groups defined by properties of sequences.Časopis pěst. matem. 109 (1984), 290–298. MR 0755595 |
| Reference:
|
[11] J. Jakubík: On some types of kernels of a convergence $\ell $-group.Czechoslov. Math. J. 39 (1989), 239–247. MR 0992131 |
| Reference:
|
[12] J. Jakubík: Closure operators on the lattice of radical classes of lattice ordered groups.Czechoslov. Math. J. 38 (1988), 71–77. MR 0925941 |
| Reference:
|
[13] J. Jakubík: On a radical class of lattice ordered groups.Czechoslov. Math. J. 39 (1989), 641–643. MR 1017999 |
| Reference:
|
[14] W. A. J. Luxemburg, A. C. Zaanen: Riesz spaces, Volume I.Amsterdam-London, 1971. MR 0511676 |
| Reference:
|
[15] J. Martinez: Torsion theory for lattice groups.Czechoslov. Math. J. 25 (1975), 284–292. MR 0389705 |
| Reference:
|
[16] N. Ja. Medvedev: On the lattice of radicals of a finitely generated $\ell $-group.Math. Slovaca 33 (1983), 185–188. (Russian) MR 0699088 |
| Reference:
|
[17] R. Sikorski: Boolean algebras, Second edition.Berlin, 1964. MR 0177920 |
| . |
