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Keywords:
$d$-ideals; $d$-group; directed group; lattice-ordered groups; torsion class; radical class
$d$-ideals; $d$-group; directed group; lattice-ordered groups; torsion class; radical class
Summary:
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.
References:
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[2] W. C. Holland: Varieties of l-groups are torsion classes. Czechoslov. Math. J. 29 (1979), 11-12. MR 0518135 | Zbl 0432.06011
[3] J. Jakubík: Radical classes and radical mappings of lattice ordered groups. Symposia Mathematica 31 (1977), 451-477, Academic Press, New York-London. MR 0491397
[4] J. Jakubík: On directed interpolation groups. Czechoslov. Math. J. 40 (1990), 648-658. MR 1084900
[5] V. M. Kopytov: Lattice ordered groups. Moskva, 1984. (In Russian.) MR 0806956 | Zbl 0567.06011
[6] V. M. Kopytov Z. J. Dimitrov: On directed groups. Sibir. matem. zh. 30 no. 3 (1989), 78-86. (In Russian.) MR 1043436
[7] J. Martinez: Torsion theory for lattice ordered groups. Czechoslov. Math. J. 25 (1975), 284-299. MR 0389705 | Zbl 0321.06020
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