Projectability and splitting property of lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 4, page 907-915
  • ISSN: 0011-4642

Abstract

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In this paper we deal with the notions of projectability, spliting property and Dedekind completeness of lattice ordered groups, and with the relations between these notions.

How to cite

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Jakubík, Ján. "Projectability and splitting property of lattice ordered groups." Czechoslovak Mathematical Journal 53.4 (2003): 907-915. <http://eudml.org/doc/30823>.

@article{Jakubík2003,
abstract = {In this paper we deal with the notions of projectability, spliting property and Dedekind completeness of lattice ordered groups, and with the relations between these notions.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {lattice ordered group; projectability; splitting property; Dedekind completeness; lattice-ordered group; projectability; splitting property; Dedekind completeness},
language = {eng},
number = {4},
pages = {907-915},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Projectability and splitting property of lattice ordered groups},
url = {http://eudml.org/doc/30823},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Jakubík, Ján
TI - Projectability and splitting property of lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 907
EP - 915
AB - In this paper we deal with the notions of projectability, spliting property and Dedekind completeness of lattice ordered groups, and with the relations between these notions.
LA - eng
KW - lattice ordered group; projectability; splitting property; Dedekind completeness; lattice-ordered group; projectability; splitting property; Dedekind completeness
UR - http://eudml.org/doc/30823
ER -

References

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  1. 10.1017/S1446788700018231, J. Austral. Math. Soc. 23 (1977), 247–256. (1977) MR0460207DOI10.1017/S1446788700018231
  2. 10.1112/jlms/s2-12.3.320, J. London Math. Soc. 12 (1976), 320–322. (1976) Zbl0333.06008MR0401579DOI10.1112/jlms/s2-12.3.320
  3. Orthocompletion of lattice ordered groups, Proc. London Math. Soc. 16 (1966), 107–130. (1966) MR0188113
  4. 10.1112/plms/s3-19.3.444, Proc. London Math. Soc. 19 (1969), 444–480. (1969) MR0244125DOI10.1112/plms/s3-19.3.444
  5. The essential closure of an archimedean lattice group, Duke Math. J. 38 (1971), 151–160. (1971) MR0277457
  6. Splitting property of lattice ordered groups, Czechoslovak Math. J. 24 (1974), 257–269. (1974) MR0349523
  7. Strongly projectable lattice ordered groups, Czechoslovak Math. J. 26 (1976), 642–652. (1976) MR0429690
  8. Orthogonal hull of a strongly projectable lattice ordered group, Czechoslovak Math. J. 28 (1978), 484–504. (1978) MR0505957
  9. Maximal Dedekind completion of an abelian lattice ordered group, Czechoslovak Math. J. 28 (1978), 611–631. (1978) MR0506435
  10. Projectable kernel of a lattice ordered group, Universal Algebra and Applications. Banach Center Publ. 9 (1982), 105–112. (1982) MR0738807
  11. 10.1023/A:1022419703077, Czechoslovak Math. J. 47 (1997), 511–523. (1997) MR1461430DOI10.1023/A:1022419703077
  12. 10.1023/A:1022849823068, Czechoslovak Math. J. 48 (1998), 359–363. (1998) MR1624264DOI10.1023/A:1022849823068
  13. 10.1023/A:1022491406886, Czechoslovak Math. J. 50 (2000), 431–444. (2000) MR1761399DOI10.1023/A:1022491406886
  14. Archimedean lattice ordered groups with the splitting property, Czechoslovak Math. J. 37 (1987), 7–18. (Russian) (1987) MR0875123

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