# The $\alpha $-completion of a lattice ordered group

Czechoslovak Mathematical Journal (1983)

- Volume: 33, Issue: 1, page 111-118
- ISSN: 0011-4642

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topBall, Richard N., and Davis, Gary. "The $\alpha $-completion of a lattice ordered group." Czechoslovak Mathematical Journal 33.1 (1983): 111-118. <http://eudml.org/doc/13367>.

@article{Ball1983,

author = {Ball, Richard N., Davis, Gary},

journal = {Czechoslovak Mathematical Journal},

keywords = {Cauchy completeness; alpha-completion of l-group; Cauchy construction; alpha-convergence; filter; order closed convex Hausdorff convergence structure; variety of l-groups; Dedekind-MacNeille complete},

language = {eng},

number = {1},

pages = {111-118},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {The $\alpha $-completion of a lattice ordered group},

url = {http://eudml.org/doc/13367},

volume = {33},

year = {1983},

}

TY - JOUR

AU - Ball, Richard N.

AU - Davis, Gary

TI - The $\alpha $-completion of a lattice ordered group

JO - Czechoslovak Mathematical Journal

PY - 1983

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 33

IS - 1

SP - 111

EP - 118

LA - eng

KW - Cauchy completeness; alpha-completion of l-group; Cauchy construction; alpha-convergence; filter; order closed convex Hausdorff convergence structure; variety of l-groups; Dedekind-MacNeille complete

UR - http://eudml.org/doc/13367

ER -

## References

top- R. Ball, 10.1090/S0002-9947-1980-0567085-5, Trans. Amer. Math. Soc. 259 (1980), 357-392. (1980) Zbl0441.06015DOI10.1090/S0002-9947-1980-0567085-5
- R. Ball, 10.2140/pjm.1979.83.1, Pacific. J. Math. 83 (1979), 1 - 26. (1979) Zbl0434.06016DOI10.2140/pjm.1979.83.1
- R. Ball, The distinguished completion of a lattice ordered group, Proceedings of the Carbondale Algebra Conference, Springer, to appear. Zbl0468.06008MR0613187
- R. D. Byrd, J. T. Lloyd, 10.1007/BF01136029, Math. Zeitsch. 101 (1967), 123-130. (1967) Zbl0178.02902DOI10.1007/BF01136029
- J. Ellis, Group topological convergence in completely distributive lattice ordered groups, thesis, Tulane University, 1968. (1968)
- R. L. Madell, Complete distributivity and $\alpha $-convergence, unpublished, Village Community School, 272 West Tenth Street, N.Y., N.Y. 10014, U.S.A. Zbl0466.06017
- F. Papangelou, 10.2140/pjm.1965.15.1347, Pacific J. Math. 15 (1965), 1347-1364. (1965) Zbl0146.04802MR0190242DOI10.2140/pjm.1965.15.1347

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