| Title:
|
Weak homogeneity of lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
849-863 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we deal with weakly homogeneous direct factors of lattice ordered groups. The main result concerns the case when the lattice ordered groups under consideration are archimedean, projectable and conditionally orthogonally complete. (English) |
| Keyword:
|
lattice ordered group |
| Keyword:
|
weak homogeneity |
| Keyword:
|
direct product |
| Keyword:
|
cardinal property |
| Keyword:
|
$f$-homogeneity |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1174.06337 |
| idMR:
|
MR2356285 |
| . |
| Date available:
|
2009-09-24T11:50:00Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128211 |
| . |
| Reference:
|
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| Reference:
|
[2] R. Cignoli, I. M. I. D’Ottaviano and D. Mundici: Algebraic Foundations of Many-Valued Reasoning.Kluwer Academic Publishers, Dordrecht, 2000. MR 1786097 |
| Reference:
|
[3] P. Conrad: Lattice Ordered Groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[4] J. Jakubík: Cardinal properties of lattice ordered groups.Fundamenta Math. 74 (1972), 85–98. MR 0302528, 10.4064/fm-74-2-85-98 |
| Reference:
|
[5] J. Jakubík: Konvexe Ketten in $\ell $-Gruppen.Časopis pěst. mat. 83 (1958), 53–63. MR 0104740 |
| Reference:
|
[6] J. Jakubík: Retract mappings of projectable $MV$-algebras.Soft Computing 4 (2000), 27–32. |
| Reference:
|
[7] J. Jakubík: Direct product decompositions of MV-algebras.Czech. Math. J. 44 (1994), 725–739. |
| Reference:
|
[8] J. Jakubík: Weak homogeneity of and Pierce’s theorem for $MV$-algebras.Czech. Math. J. 56 (2006), 1215–1227. MR 2280805, 10.1007/s10587-006-0090-9 |
| Reference:
|
[9] R. S. Pierce: A note on complete Boolean algebras.Proc. Amer. Math. Soc. 9 (1958), 892–896. MR 0102487, 10.1090/S0002-9939-1958-0102487-6 |
| Reference:
|
[10] R. S. Pierce: Some questions about complete Boolean algebras.Proc. Sympos. Pure Math. 2 (1961), 129–140. Zbl 0101.27104, MR 0138570 |
| Reference:
|
[11] R. Sikorski: Boolean Algebras.Second Edition, Springer Verlag, Berlin, 1964. Zbl 0123.01303, MR 0126393 |
| Reference:
|
[12] F. Šik: Über subdirekte Summen geordneter Gruppen.Czech. Math. J. 10 (1960), 400–424. MR 0123626 |
| . |
