On directed groups with additional operations

Ján Jakubík

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 1, page 11-17
  • ISSN: 0862-7959

Abstract

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This paper deals with a question concerning d -ideals of d -groups which was proposed by V. M. Kopytov and Z. J. Dimitrov. We shall also investigate a class of d -groups which is in a certain sense near to the class of all lattice ordered groups.

How to cite

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Jakubík, Ján. "On directed groups with additional operations." Mathematica Bohemica 118.1 (1993): 11-17. <http://eudml.org/doc/29174>.

@article{Jakubík1993,
abstract = {This paper deals with a question concerning $d$-ideals of $d$-groups which was proposed by V. M. Kopytov and Z. J. Dimitrov. We shall also investigate a class of $d$-groups which is in a certain sense near to the class of all lattice ordered groups.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {$d$-ideals; $d$-group; directed group; lattice-ordered groups; torsion class; radical class; -ideals; -group; directed group; lattice-ordered groups; torsion class; radical class},
language = {eng},
number = {1},
pages = {11-17},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On directed groups with additional operations},
url = {http://eudml.org/doc/29174},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Jakubík, Ján
TI - On directed groups with additional operations
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 1
SP - 11
EP - 17
AB - This paper deals with a question concerning $d$-ideals of $d$-groups which was proposed by V. M. Kopytov and Z. J. Dimitrov. We shall also investigate a class of $d$-groups which is in a certain sense near to the class of all lattice ordered groups.
LA - eng
KW - $d$-ideals; $d$-group; directed group; lattice-ordered groups; torsion class; radical class; -ideals; -group; directed group; lattice-ordered groups; torsion class; radical class
UR - http://eudml.org/doc/29174
ER -

References

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  1. L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford, 1963. (1963) Zbl0137.02001MR0171864
  2. W. C. Holland, Varieties of l-groups are torsion classes, Czechoslov. Math. J. 29 (1979), 11-12. (1979) Zbl0432.06011MR0518135
  3. J. Jakubík, Radical classes and radical mappings of lattice ordered groups, Symposia Mathematica 31 (1977), 451-477, Academic Press, New York-London. (1977) MR0491397
  4. J. Jakubík, On directed interpolation groups, Czechoslov. Math. J. 40 (1990), 648-658. (1990) MR1084900
  5. V. M. Kopytov, Lattice ordered groups, Moskva, 1984. (In Russian.) (1984) Zbl0567.06011MR0806956
  6. V. M. Kopytov Z. J. Dimitrov, On directed groups, Sibir. matem. zh. 30 no. 3 (1989), 78-86. (In Russian.) (1989) MR1043436
  7. J. Martinez, Torsion theory for lattice ordered groups, Czechoslov. Math. J. 25 (1975), 284-299. (1975) Zbl0321.06020MR0389705

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