| Title:
|
Free $\ell $-groups and free products of $\ell $-groups (English) |
| Author:
|
Ton, Dao-Rong |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
617-625 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we have given the construction of free $\ell $-groups generated by a po-group and the construction of free products in any sub-product class $\Cal U$ of $i\ell$-groups. We have proved that the $\Cal U$-free products satisfy the weak subalgebra property. (English) |
| Keyword:
|
lattice-ordered group ($\ell $-group) |
| Keyword:
|
free $\ell $-group |
| Keyword:
|
free product of $\ell $-groups |
| Keyword:
|
sub-product class of $\ell $-groups |
| MSC:
|
06F15 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 0820.06010 |
| idMR:
|
MR1321232 |
| . |
| Date available:
|
2009-01-08T18:13:49Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118703 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[4] Holland W.C., Scringer E.: Free products of lattice-ordered groups.Algebra Universalis 2 (1972), 247-254. MR 0319843 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
|
[8] Martinez J.: Free products of abelian $\ell $-groups.Czech. Math. J. 23 (1973), 349-361. MR 0371770 |
| Reference:
|
[9] Martinez J. (ed.): Ordered Algebraic Structure.Kluwer Academic Publishers, 1989, pp. 11-49. MR 1094821 |
| Reference:
|
[10] Powell W.B., Tsinakis C.: Free products of abelian $\ell $-groups are cardinally indecomposable.Proc. A.M.S. 86 (1982), 385-390. MR 0671199 |
| Reference:
|
[11] Powell W.B., Tsinakis C.: Free products in the class of abelian $\ell $-groups.Pacific J. Math. 104 (1983), 429-442. MR 0684301 |
| Reference:
|
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| Reference:
|
[13] Powell W.B., Tsinakis C.: Free products of lattice-ordered groups.Algebra Universalis 18 (1984), 178-198. Zbl 0545.06007, MR 0743466 |
| Reference:
|
[14] Powell W.B., Tsinakis C.: Disjointness conditions for free products of $\ell $-groups.Arkiv. der Math. 46 (1986), 491-498. Zbl 0578.06012, MR 0849853 |
| Reference:
|
[15] Powell W.B., Tsinakis C.: Disjoint sets in free products of representable $\ell $-groups.Proc. A.M.S. 104 (1988), 1014-1020. MR 0931736 |
| Reference:
|
[16] Dao-Rong Ton: Free weak Hamiltonian $\ell $-groups.Northeast Mathematics 10 (2) (1994), 235-240. |
| Reference:
|
[17] Weinberg E.C.: Free lattice-ordered abelian groups.Math. Ann. 151 (1963), 187-199. Zbl 0114.25801, MR 0153759 |
| Reference:
|
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| . |
