Jordan-Holder theorem in the theory of universal algebras of Mal’cev varieties
Problemy fiziki, matematiki i tehniki, no. 4 (2010), pp. 50-56.

Voir la notice de l'article provenant de la source Math-Net.Ru

Some properties of the chief series of congruences of universal Mal’cev algebras are studied.
Keywords: universal algebra, series of congruences, Mal’cev algebra.
@article{PFMT_2010_4_a8,
     author = {A. D. Hodalevich},
     title = {Jordan-Holder theorem in the theory of universal algebras of {Mal{\textquoteright}cev} varieties},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {50--56},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2010_4_a8/}
}
TY  - JOUR
AU  - A. D. Hodalevich
TI  - Jordan-Holder theorem in the theory of universal algebras of Mal’cev varieties
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2010
SP  - 50
EP  - 56
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2010_4_a8/
LA  - ru
ID  - PFMT_2010_4_a8
ER  - 
%0 Journal Article
%A A. D. Hodalevich
%T Jordan-Holder theorem in the theory of universal algebras of Mal’cev varieties
%J Problemy fiziki, matematiki i tehniki
%D 2010
%P 50-56
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2010_4_a8/
%G ru
%F PFMT_2010_4_a8
A. D. Hodalevich. Jordan-Holder theorem in the theory of universal algebras of Mal’cev varieties. Problemy fiziki, matematiki i tehniki, no. 4 (2010), pp. 50-56. http://geodesic.mathdoc.fr/item/PFMT_2010_4_a8/

[1] R. Carter, B. Fischer, T. Hawkes, “Extreme classes of finite soluble groups”, J. Algebra, 9:3 (1968), 285–313 | DOI | MR

[2] J. Lafuente, “Maximal subgroups and the Jordan–Holder theorem”, J. Austral. Math. Soc., 46:3 (1989), 356–364 | DOI | MR | Zbl

[3] L. A. Shemetkov, A. N. Skiba, Formatsii algebraicheskikh sistem, Nauka, M., 1989, 256 pp. | MR

[4] J. D. H. Smith, Mal'cev Varieties, Lect. Notes. Math., 554, 1976, 158 pp. | MR | Zbl

[5] A. D. Khodalevich, “Formatsionnye svoistva nilpotentnykh algebr”, Voprosy algebry, 7, Izd-vo Gomelskogo un-ta, Gomel, 1992, 76–85 | MR

[6] W. Gaschutz, “Praefrattinigruppen”, Arch. Math., 13:3 (1962), 418–426 | DOI | MR

[7] M. Kholl, Teoriya grupp, IL, M., 1962, 468 pp.