| Title:
|
Diassociativity is not finitely based relative to power associativity (English) |
| Author:
|
Kowalski, Tomasz |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
51 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
305-317 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that the variety of diassociative loops is not finitely based even relative to power associative loops with inverse property. (English) |
| Keyword:
|
loop |
| Keyword:
|
diassociativity |
| Keyword:
|
equational basis |
| MSC:
|
03C05 |
| MSC:
|
03C20 |
| MSC:
|
08B05 |
| idZBL:
|
Zbl 1224.08005 |
| idMR:
|
MR2682483 |
| . |
| Date available:
|
2010-05-21T12:49:53Z |
| Last updated:
|
2014-07-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140109 |
| . |
| Reference:
|
[1] Evans T., Neumann B.H.: On varieties of groupoids and loops.J. London Math. Soc. 28 (1953), 342–350. Zbl 0050.01705, MR 0057867, 10.1112/jlms/s1-28.3.342 |
| Reference:
|
[2] Kinyon M.K., Kunen K., Phillips J.D.: A generalization of Moufang and Steiner loops.Algebra Universalis 48 (2002), 81–101. Zbl 1058.20057, MR 1930034, 10.1007/s00012-002-8205-0 |
| Reference:
|
[3] Chang C.C., Keisler H.J.: Model Theory.Studies in Logic and the Foundations of Mathematics, vol. 73, 3rd edition, North-Holland, Amsterdam, 1990. Zbl 0697.03022, MR 1059055 |
| . |
