| Title:
|
Group conjugation has non-trivial LD-identities (English) |
| Author:
|
Drápal, Aleš |
| Author:
|
Kepka, Tomáš |
| Author:
|
Musílek, Michal |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
219-222 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that group conjugation generates a proper subvariety of left distributive idempotent groupoids. This subvariety coincides with the variety generated by all cancellative left distributive groupoids. (English) |
| Keyword:
|
left distributivity |
| Keyword:
|
free group |
| MSC:
|
08B15 |
| MSC:
|
20A05 |
| MSC:
|
20A99 |
| MSC:
|
20M07 |
| MSC:
|
20N02 |
| idZBL:
|
Zbl 0810.20053 |
| idMR:
|
MR1286567 |
| . |
| Date available:
|
2009-01-08T18:10:21Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118659 |
| . |
| Reference:
|
[1] Dehornoy P.: Braid groups and left distributive structures.Transactions AMS, to appear. |
| Reference:
|
[2] Kepka T.: Notes on left distributive groupoids.Acta Univ. Carolinae - Math. et Ph. 22 (1981), 23-37. Zbl 0517.20048, MR 0654379 |
| Reference:
|
[3] Laver R.: The left distributive law and the freeness of an algebra of elementary embeddings.Advances in Mathematics 91 (1992), 209-231. Zbl 0822.03030, MR 1149623 |
| Reference:
|
[4] Pierce R.S.: Symmetric groupoids.Osaka J. Math. 15 (1978), 51-76. Zbl 0395.20033, MR 0480780 |
| Reference:
|
[5] Larue D.M.: .Unpublished notes, 1992. Zbl 1106.76319 |
| Reference:
|
[6] Larue D.M.: .Ph. D. Thesis University of Colorado, 1994. Zbl 1106.76319 |
| . |
