Lexico extension and a cut completion of a half l-group

Štefan Černák; Milan Demko

Discussiones Mathematicae - General Algebra and Applications (2002)

  • Volume: 22, Issue: 2, page 141-152
  • ISSN: 1509-9415

Abstract

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The cut completi on of an hl-group G with the abelian increasing part is investigated under the assumption that G is a lexico extension of its hl-subgroup.

How to cite

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Štefan Černák, and Milan Demko. "Lexico extension and a cut completion of a half l-group." Discussiones Mathematicae - General Algebra and Applications 22.2 (2002): 141-152. <http://eudml.org/doc/287648>.

@article{ŠtefanČernák2002,
abstract = {The cut completi on of an hl-group G with the abelian increasing part is investigated under the assumption that G is a lexico extension of its hl-subgroup.},
author = {Štefan Černák, Milan Demko},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {half lattice ordered group; l-group; cut completion; lexico extension; half lattice-ordered group; -group},
language = {eng},
number = {2},
pages = {141-152},
title = {Lexico extension and a cut completion of a half l-group},
url = {http://eudml.org/doc/287648},
volume = {22},
year = {2002},
}

TY - JOUR
AU - Štefan Černák
AU - Milan Demko
TI - Lexico extension and a cut completion of a half l-group
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2002
VL - 22
IS - 2
SP - 141
EP - 152
AB - The cut completi on of an hl-group G with the abelian increasing part is investigated under the assumption that G is a lexico extension of its hl-subgroup.
LA - eng
KW - half lattice ordered group; l-group; cut completion; lexico extension; half lattice-ordered group; -group
UR - http://eudml.org/doc/287648
ER -

References

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  1. [1] R.N. Ball, The structure of the α-completion of a lattice ordered group, Houston J. Math. 15 (1989), 481-515. Zbl0703.06009
  2. [2] P. Conrad, Lattice Ordered Groups, Tulane University, New Orleans, LA, 1970. Zbl0258.06011
  3. [3] M.R. Darnel, Theory of Lattice Ordered Groups, M. Dekker, Inc., New York 1995. Zbl0810.06016
  4. [4] M. Giraudet and F. Lucas, Groupes à moitié ordonnés, Fund. Math. 139 (1991), 75-89. 
  5. [5] J. Jakubík, On cut completions of abelian lattice ordered groups, Czechoslovak Math. J. 50 (125) (2000), 587-602. Zbl1079.06507

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