| Title:
|
The ${\scr Ar}$-free products of archimedean $l$-groups (English) |
| Author:
|
Ton, Dao-Rong |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
243-252 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The objective of this paper is to give two descriptions of the $\scr A r$-free products of archimedean $\ell $-groups and to establish some properties for the $\scr A r$-free products. Specifically, it is proved that $\scr A r$-free products satisfy the weak subalgebra property. (English) |
| MSC:
|
06F20 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 0952.06025 |
| idMR:
|
MR1624311 |
| . |
| Date available:
|
2009-09-24T10:13:05Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127414 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[7] J. Martinez: Free products in varieties of lattice ordered groups.Czechoslovak Math. J. 22(97) (1972), 535–553. Zbl 0247.06022, MR 0311536 |
| Reference:
|
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| Reference:
|
[9] J. Martinez (ed): Ordered Algebraic Structure, 11–49.Kluwer Academic Publishers, 1989. MR 1094821 |
| Reference:
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[10] W.B. Powell, C. Tsinakis: Free products of abelian $l$-groups are cardinally indecomposable.Proc. Amer. Math. Soc. 86 (1982), 385–390. MR 0671199 |
| Reference:
|
[11] W.B. Powell, C. Tsinakis: Free products in the class of abelian $l$-groups.Pacific J. Math. 104 (1983), 429–442. MR 0684301, 10.2140/pjm.1983.104.429 |
| Reference:
|
[12] W.B. Powell, C. Tsinakis: Free products of lattice ordered groups.Algebra Universalis 18 (1984), 178–198. MR 0743466, 10.1007/BF01198527 |
| Reference:
|
[13] W.B. Powell, C. Tsinakis: Disjointness conditions for free products of $l$-groups.Archiv. Math. 46 (1986), 491–498. MR 0849853, 10.1007/BF01195016 |
| Reference:
|
[14] Dao-Rong Ton: Note on free abelian lattice groups (to appear).. |
| Reference:
|
[15] Dao-Rong Ton: Free archimedean $l$-groups.Mathematica Scandinavica 74 (1994), 34–48. MR 1277787, 10.7146/math.scand.a-12478 |
| Reference:
|
[16] W.C. Weinberg: Free lattice-ordered abelian lattice groups.Math. Ann. 15 (1963), 187–199. |
| . |
