Convexities of lattice ordered groups

Ján Jakubík

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 1, page 59-67
  • ISSN: 0862-7959

Abstract

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In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of d -groups.

How to cite

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Jakubík, Ján. "Convexities of lattice ordered groups." Mathematica Bohemica 121.1 (1996): 59-67. <http://eudml.org/doc/247948>.

@article{Jakubík1996,
abstract = {In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of $d$-groups.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {lattice ordered group; direct product; convexity of lattice ordered groups; convex $\ell $-subgroup; lattice ordered group; direct product; convexity of lattice ordered groups},
language = {eng},
number = {1},
pages = {59-67},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Convexities of lattice ordered groups},
url = {http://eudml.org/doc/247948},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Jakubík, Ján
TI - Convexities of lattice ordered groups
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 1
SP - 59
EP - 67
AB - In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of $d$-groups.
LA - eng
KW - lattice ordered group; direct product; convexity of lattice ordered groups; convex $\ell $-subgroup; lattice ordered group; direct product; convexity of lattice ordered groups
UR - http://eudml.org/doc/247948
ER -

References

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  1. P. Conrad, Torsion radicals of lattice ordered groups, Symposia Math. 31. Academic Press, New York-London, 1977, pp. 479-513. (1977) Zbl0372.06011MR0465969
  2. Dao-Rong Ton, Product radical classes of l-groups, Czechoslovak Math. J. 42 (1992), 129-142. (1992) MR1152176
  3. J. Jakubík, Radical classes and radical mappings of lattice ordered groups, Symposia Math. 31. Academic Press, New York-London, 1977, pp. 451-477. (1977) MR0491397
  4. J. Jakubík, On convexities of lattices, Czechoslovak Math. J. 42 (1992), 325-330. (1992) MR1179503
  5. J. Jakubík, On directed groups with additional operations, Math. Bohem. 118 (1993), 11-17. (1993) MR1213828
  6. J. Jakubík, On convexities of d-groups, Czechoslovak Math. J. 44 (1994), 305-314. (1994) MR1281025
  7. V. M. Kopytov, Z. J. Dimitrov, On directed groups, Sibirsk. Mat. Zh. SO (1989), 78-86. (In Russian.) (1989) Zbl0714.06007MR1043436
  8. J. Martinez, Torsion theory of lattice ordered groups, Czechoslovak Math. J. 25 (1975), 284-299. (1975) MR0389705
  9. R. Mlitz (ed.), General algebra 1980, Proc. Internat. Conf. Krems 1988. North Holland, Amsterdam-New York-Tokyo-Oxford, 1990. (1988) MR1060341

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