| Title:
|
On quasivarieties of nilpotent Moufang loops. II (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:
|
491-499 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this part of the paper we study the quasiidentities of the nilpotent Moufang loops. In particular, we solve the problem of finite basis for quasiidentities in the finitely generated nilpotent Moufang loop. (English) |
| Keyword:
|
basis |
| Keyword:
|
loop |
| Keyword:
|
associator |
| Keyword:
|
commutator |
| Keyword:
|
nilpotent |
| Keyword:
|
variety |
| Keyword:
|
quasivariety |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 1257.20072 |
| idMR:
|
MR3017845 |
| . |
| Date available:
|
2012-08-31T11:45:36Z |
| Last updated:
|
2014-10-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142939 |
| . |
| Reference:
|
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| Reference:
|
[2] Budkin A.I.: Quasiidentities of nilpotent groups and groups with one relation.Algebra i Logika 18 (1979), no. 2, 127–136. MR 0566777, 10.1007/BF01669499 |
| Reference:
|
[3] Ursu V.I.: On quasiidentities of finitely generated commutative Moufang loops.Algebra i Logika 30, (1991), no. 6, 726–734. MR 1213732 |
| Reference:
|
[4] Bruck R.H.: A Survey of Binary Systems.Springer, Berlin-Heidelberg-New York, 1958. Zbl 0141.01401, MR 0093552 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[7] Mal'cev A.I.: Algebraic Systems.Moscow, Nauka, 1970. Zbl 0223.08001, MR 0282908 |
| Reference:
|
[8] Vinogradov A.A.: Quasivarieties of Abelian groups.Algebra i Logika Sem. 4 (1965), no. 6, 15–18. MR 0199262 |
| Reference:
|
[9] 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 |
| . |
