The 𝒜 r -free products of archimedean l -groups

Dao Rong Tong

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 2, page 243-252
  • ISSN: 0011-4642

Abstract

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The objective of this paper is to give two descriptions of the 𝒜 r -free products of archimedean -groups and to establish some properties for the 𝒜 r -free products. Specifically, it is proved that 𝒜 r -free products satisfy the weak subalgebra property.

How to cite

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Tong, Dao Rong. "The ${\mathcal {A}r}$-free products of archimedean $l$-groups." Czechoslovak Mathematical Journal 48.2 (1998): 243-252. <http://eudml.org/doc/30416>.

@article{Tong1998,
abstract = {The objective of this paper is to give two descriptions of the $\mathcal \{A\} r$-free products of archimedean $\ell $-groups and to establish some properties for the $\mathcal \{A\} r$-free products. Specifically, it is proved that $\mathcal \{A\} r$-free products satisfy the weak subalgebra property.},
author = {Tong, Dao Rong},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordered abelian groups; archimedean -groups; free products; weak subalgebra property},
language = {eng},
number = {2},
pages = {243-252},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The $\{\mathcal \{A\}r\}$-free products of archimedean $l$-groups},
url = {http://eudml.org/doc/30416},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Tong, Dao Rong
TI - The ${\mathcal {A}r}$-free products of archimedean $l$-groups
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 2
SP - 243
EP - 252
AB - The objective of this paper is to give two descriptions of the $\mathcal {A} r$-free products of archimedean $\ell $-groups and to establish some properties for the $\mathcal {A} r$-free products. Specifically, it is proved that $\mathcal {A} r$-free products satisfy the weak subalgebra property.
LA - eng
KW - ordered abelian groups; archimedean -groups; free products; weak subalgebra property
UR - http://eudml.org/doc/30416
ER -

References

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  11. 10.2140/pjm.1983.104.429, Pacific J. Math. 104 (1983), 429–442. (1983) MR0684301DOI10.2140/pjm.1983.104.429
  12. 10.1007/BF01198527, Algebra Universalis 18 (1984), 178–198. (1984) MR0743466DOI10.1007/BF01198527
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  14. Note on free abelian lattice groups (to appear), . 
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  16. Free lattice-ordered abelian lattice groups, Math. Ann. 15 (1963), 187–199. (1963) 

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