Geodesic
Simple polyverbal operations
Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1418-1436.

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

A new series of polyverbal Maltsev operations is introduced which includes all such operations known. Results are obtained on the number of all Maltsev and polyverbal Maltsev operations. 
@article{IM2_1971_5_6_a11,
     author = {S. A. Ashmanov and M. A. Bronshtein},
     title = {Simple polyverbal operations},
     journal = {Izvestiya. Mathematics },
     pages = {1418--1436},
     publisher = {mathdoc},
     volume = {5},
     number = {6},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a11/}
}
TY  - JOUR
AU  - S. A. Ashmanov
AU  - M. A. Bronshtein
TI  - Simple polyverbal operations
JO  - Izvestiya. Mathematics 
PY  - 1971
SP  - 1418
EP  - 1436
VL  - 5
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a11/
LA  - en
ID  - IM2_1971_5_6_a11
ER  - 
%0 Journal Article
%A S. A. Ashmanov
%A M. A. Bronshtein
%T Simple polyverbal operations
%J Izvestiya. Mathematics 
%D 1971
%P 1418-1436
%V 5
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a11/
%G en
%F IM2_1971_5_6_a11
S. A. Ashmanov; M. A. Bronshtein. Simple polyverbal operations. Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1418-1436. http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a11/

[1] Ashmanov S. A., Bronshtein M. A., “Maltsevskie operatsii na gruppakh”, Rezyume soobschenii i dokladov X Vsesoyuznogo algebraicheskogo kollokviuma, Novosibirsk, 1969

[2] Ashmanov S. A., Matsedonskaya O. N., “O pravilnykh operatsiyakh, udovletvoryayuschikh postulatu Maltseva”, Sib. matem. zh., VII:6 (1966), 1216–1229

[3] Bronshtein M. A., “Verbalnye spleteniya grupp i diskriminatsiya mnogoobrazii”, Izv. AN SSSR. Ser. matem., 34 (1970), 1209–1218

[4] Genov G. K., “Novye semeistva maltsevskikh operatsii”, Matem. sb., 77(119) (1968), 437–460 | MR | Zbl

[5] Golovin O. N., “Politozhdestvennye sootnosheniya v gruppakh”, Dokl. AN SSSR, 145:5 (1962), 967–970 | MR | Zbl

[6] Golovin O. N., “Funktornye operatsii na klasse vsekh grupp”, Dokl. AN SSSR, 149:1 (1963), 12–15 | MR | Zbl

[7] Golovin O. N., “Struktura poliverbalnykh operatsii”, Dokl. AN SSSR, 153:6 (1963), 1238–1241 | MR | Zbl

[8] Golovin O. N., “Politozhdestvennoe sootnoshenie v gruppakh i opredelyaemye imi operatsii na klasse vsekh grupp”, Tr. Mosk. matem. ob-va, 12 (1963), 413–435 | MR | Zbl

[9] Gruenberg K., “Residual properties of infinites solubles groups”, Proc, London Math. Soc., 7 (1957), 29–62 | DOI | MR | Zbl

[10] Kourovskaya tetrad, SO AN SSSR, Novosibirsk, 1969

[11] Olshanskii A. Yu., “O probleme konechnogo bazisa tozhdestv v gruppakh”, Izv. AN SSSR. Ser. matem., 34 (1970), 376–384

[12] Kholl M., Teoriya grupp, Mir, M., 1962

[13] Tsalenko M. S., “Neskolko zamechanii o beskonechno prostykh gruppakh”, Sib. matem. zh., 4 (1963), 227–231 | Zbl

[14] Tsalenko M. Sh., “Operatsii v kategoriyakh, indutsirovannye reflektivnymi i koreflektivnymi podkategoriyami”, Uspekhi matem. nauk, 24:6 (1969), 197–198 | MR | Zbl

[15] Shmelkin A. L., “K teorii pravilnykh proizvedenii grupp”, Matem. sb., 51:2 (1960), 277–291 | MR