Geodesic
On directed groups with additional operations
Mathematica Bohemica, Tome 118 (1993) no. 1, pp. 11-17

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
DOI : 10.21136/MB.1993.126020
Classification : 06F15
Keywords: $d$-ideals; $d$-group; directed group; lattice-ordered groups; torsion class; radical class 
Jakubík, Ján. On directed groups with additional operations. Mathematica Bohemica, Tome 118 (1993) no. 1, pp. 11-17. doi: 10.21136/MB.1993.126020
@article{10_21136_MB_1993_126020,
     author = {Jakub{\'\i}k, J\'an},
     title = {On directed groups with additional operations},
     journal = {Mathematica Bohemica},
     pages = {11--17},
     year = {1993},
     volume = {118},
     number = {1},
     doi = {10.21136/MB.1993.126020},
     mrnumber = {1213828},
     zbl = {0799.06027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126020/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - On directed groups with additional operations
JO  - Mathematica Bohemica
PY  - 1993
SP  - 11
EP  - 17
VL  - 118
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126020/
DO  - 10.21136/MB.1993.126020
LA  - en
ID  - 10_21136_MB_1993_126020
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T On directed groups with additional operations
%J Mathematica Bohemica
%D 1993
%P 11-17
%V 118
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126020/
%R 10.21136/MB.1993.126020
%G en
%F 10_21136_MB_1993_126020

[1] L. Fuchs: Partially ordered algebraic systems. Pergamon Press, Oxford, 1963. | MR | Zbl

[2] W. C. Holland: Varieties of l-groups are torsion classes. Czechoslov. Math. J. 29 (1979), 11-12. | MR | Zbl

[3] J. Jakubík: Radical classes and radical mappings of lattice ordered groups. Symposia Mathematica 31 (1977), 451-477, Academic Press, New York-London. | MR

[4] J. Jakubík: On directed interpolation groups. Czechoslov. Math. J. 40 (1990), 648-658. | MR

[5] V. M. Kopytov: Lattice ordered groups. Moskva, 1984. (In Russian.) | MR | Zbl

[6] V. M. Kopytov Z. J. Dimitrov: On directed groups. Sibir. matem. zh. 30 no. 3 (1989), 78-86. (In Russian.) | MR

[7] J. Martinez: Torsion theory for lattice ordered groups. Czechoslov. Math. J. 25 (1975), 284-299. | MR | Zbl

Cité par Sources :