| Title:
|
On quasivarieties of nilpotent Moufang loops. I (English) |
| Author:
|
Ursu, Vasile I. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
53 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
475-489 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this part the smallest non-abelian quasivarieties for nilpotent Moufang loops are described. (English) |
| Keyword:
|
loop |
| Keyword:
|
associator |
| Keyword:
|
commutator |
| Keyword:
|
nilpotent |
| Keyword:
|
quasivarieties |
| Keyword:
|
quasiidentities |
| Keyword:
|
identities |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 1257.20071 |
| idMR:
|
MR3017844 |
| . |
| Date available:
|
2012-08-31T11:44:45Z |
| Last updated:
|
2014-10-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142938 |
| . |
| Reference:
|
[1] Mal'cev A.I.: On the inclusion of associative systems in groups, I..Mat. Sbornik 6 (1939), no. 2, 331–336. MR 0002152 |
| Reference:
|
[2] Mal'cev A.I.: On the inclusion of associative systems in groups, II..Mat. Sbornik 8 (1940), no. 2, 251–263. MR 0003420 |
| Reference:
|
[3] Mal'cev A.I.: Quasiprimitive classes of abstract algebras.Dokl. Akad. Nauk SSSR (N.S.) 108 (1956), 187–189. MR 0079572 |
| Reference:
|
[4] Mal'cev A.I.: Several remarks on quasivarieties of algebraic systems.Algebra i Logika Sem. 5 (1966), no. 3, 3–9. MR 0205902 |
| Reference:
|
[5] Mal'cev A. I.: Some borderline problems of algebra and logic.1968 Proc. Internat. Congr. Math. (Moscow, 1966), pp. 217–231. MR 0233751 |
| Reference:
|
[6] Mal'cev A.I.: Algebraic Systems.Moscow, Nauka, 1970. Zbl 0223.08001, MR 0282908 |
| Reference:
|
[7] Ursu V.I.: On identities of nilpotent Moufang loops.Rev. Roumaine Math. Pures Appl. 45 (2000), no. 3, 537–548. Zbl 0993.20043, MR 1840173 |
| Reference:
|
[8] Bruck R.H.: A Survey of Binary Systems.Springer, Berlin-Heidelberg-New York, 1958. Zbl 0141.01401, MR 0093552 |
| Reference:
|
[9] Koval'ski A.V., Ursu V.I.: An equational theory for a nilpotent A-loop.Algebra Logika 49 (2010), no. 4, 479–497. MR 2790173 |
| Reference:
|
[10] Kargapolov M.I., Merzlyakov Yu.I.: Fundamentals of Group Theory.Moscow, Nauka, 1982. Zbl 0884.20001, MR 0677282 |
| . |
