The α -completion of a lattice ordered group

Richard N. Ball; Gary Davis

Czechoslovak Mathematical Journal (1983)

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

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Ball, 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

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  1. 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
  2. R. Ball, 10.2140/pjm.1979.83.1, Pacific. J. Math. 83 (1979), 1 - 26. (1979) Zbl0434.06016DOI10.2140/pjm.1979.83.1
  3. R. Ball, The distinguished completion of a lattice ordered group, Proceedings of the Carbondale Algebra Conference, Springer, to appear. Zbl0468.06008MR0613187
  4. R. D. Byrd, J. T. Lloyd, 10.1007/BF01136029, Math. Zeitsch. 101 (1967), 123-130. (1967) Zbl0178.02902DOI10.1007/BF01136029
  5. J. Ellis, Group topological convergence in completely distributive lattice ordered groups, thesis, Tulane University, 1968. (1968) 
  6. R. L. Madell, Complete distributivity and α -convergence, unpublished, Village Community School, 272 West Tenth Street, N.Y., N.Y. 10014, U.S.A. Zbl0466.06017
  7. 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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