Strong projectability of lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 4, page 957-973
  • ISSN: 0011-4642

Abstract

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In this paper we prove that the lateral completion of a projectable lattice ordered group is strongly projectable. Further, we deal with some properties of Specker lattice ordered groups which are related to lateral completeness and strong projectability.

How to cite

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Jakubík, Ján. "Strong projectability of lattice ordered groups." Czechoslovak Mathematical Journal 55.4 (2005): 957-973. <http://eudml.org/doc/31003>.

@article{Jakubík2005,
abstract = {In this paper we prove that the lateral completion of a projectable lattice ordered group is strongly projectable. Further, we deal with some properties of Specker lattice ordered groups which are related to lateral completeness and strong projectability.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lattice ordered group; projectability; strong projectability; lateral completion; orthocompletion; Specker lattice ordered group; lattice-ordered group; projectability; strong projectability; lateral completion; orthocompletion; Specker lattice-ordered group},
language = {eng},
number = {4},
pages = {957-973},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Strong projectability of lattice ordered groups},
url = {http://eudml.org/doc/31003},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Jakubík, Ján
TI - Strong projectability of lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 4
SP - 957
EP - 973
AB - In this paper we prove that the lateral completion of a projectable lattice ordered group is strongly projectable. Further, we deal with some properties of Specker lattice ordered groups which are related to lateral completeness and strong projectability.
LA - eng
KW - Lattice ordered group; projectability; strong projectability; lateral completion; orthocompletion; Specker lattice ordered group; lattice-ordered group; projectability; strong projectability; lateral completion; orthocompletion; Specker lattice-ordered group
UR - http://eudml.org/doc/31003
ER -

References

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