Geodesic
The $\alpha $-completion of a lattice ordered group
Czechoslovak Mathematical Journal, Tome 33 (1983) no. 1, pp. 111-118
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1983.101861
Classification : 06F15 
@article{10_21136_CMJ_1983_101861,
     author = {Ball, Rick and Davis, Gary},
     title = {The $\alpha $-completion of a lattice ordered group},
     journal = {Czechoslovak Mathematical Journal},
     pages = {111--118},
     year = {1983},
     volume = {33},
     number = {1},
     doi = {10.21136/CMJ.1983.101861},
     mrnumber = {687423},
     zbl = {0517.06014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1983.101861/}
}
TY  - JOUR
AU  - Ball, Rick
AU  - Davis, Gary
TI  - The $\alpha $-completion of a lattice ordered group
JO  - Czechoslovak Mathematical Journal
PY  - 1983
SP  - 111
EP  - 118
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1983.101861/
DO  - 10.21136/CMJ.1983.101861
LA  - en
ID  - 10_21136_CMJ_1983_101861
ER  - 
%0 Journal Article
%A Ball, Rick
%A Davis, Gary
%T The $\alpha $-completion of a lattice ordered group
%J Czechoslovak Mathematical Journal
%D 1983
%P 111-118
%V 33
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1983.101861/
%R 10.21136/CMJ.1983.101861
%G en
%F 10_21136_CMJ_1983_101861
Ball, Rick; Davis, Gary. The $\alpha $-completion of a lattice ordered group. Czechoslovak Mathematical Journal, Tome 33 (1983) no. 1, pp. 111-118. doi: 10.21136/CMJ.1983.101861

[1] R. Ball: Convergence and Cauchy structures on lattice ordered groups. Trans. Amer. Math. Soc. 259 (1980), 357-392. | DOI | Zbl

[2] R. Ball: Topological lattice ordered groups. Pacific. J. Math. 83 (1979), 1 - 26. | DOI | Zbl

[3] R. Ball: The distinguished completion of a lattice ordered group. Proceedings of the Carbondale Algebra Conference, Springer, to appear. | MR | Zbl

[4] R. D. Byrd, J. T. Lloyd: Closed subgroups and complete distributivity in lattice ordered groups. Math. Zeitsch. 101 (1967), 123-130. | DOI | Zbl

[5] J. Ellis: Group topological convergence in completely distributive lattice ordered groups. thesis, Tulane University, 1968.

[6] R. L. Madell: Complete distributivity and $\alpha$-convergence. unpublished, Village Community School, 272 West Tenth Street, N.Y., N.Y. 10014, U.S.A. | Zbl

[7] F. Papangelou: Some considerations on convergence in abelian lattice groups. Pacific J. Math. 15 (1965), 1347-1364. | DOI | MR | Zbl

Cité par Sources :