| Title:
|
Quasitrivial left distributive groupoids (English) |
| Author:
|
El Bashir, Robert |
| Author:
|
Drápal, Aleš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
597-606 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Left distributive quasitrivial groupoids are completely described and those of them which are subdirectly irreducible are found. There are also determined all left distributive algebras $A = A(*,\circ)$ such that $A(*)$ is a quasitrivial groupoid. (English) |
| Keyword:
|
left distributive groupoid |
| Keyword:
|
quasitrivial groupoid |
| MSC:
|
20N02 |
| idZBL:
|
Zbl 0843.20051 |
| idMR:
|
MR1321230 |
| . |
| Date available:
|
2009-01-08T18:13:41Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118701 |
| . |
| Reference:
|
[DehAd] Dehornoy P.: The adjoint representations of left distributive structures.Comm. Algebra 20 (1992), 1201-1215. MR 1154409 |
| Reference:
|
[DehBr] Dehornoy P.: Braid groups and left distributive structures.Transactions AMS, to appear. |
| Reference:
|
[DKM] Drápal A., Kepka T., Musílek M.: Group conjugation has non-trivial LD-identities.Comment. Math. Univ. Carolinae 35 (1994), 219-222. MR 1286567 |
| Reference:
|
[JeKe] Ježek J., Kepka T.: Quasitrivial and nearly quasitrivial distributive groupoids and semigroups.Acta Univ. Carol. 19 (1978), 225-237. MR 0509345 |
| Reference:
|
[KepQ] Kepka T.: Quasitrivial groupoids and balanced identities.Acta Univ. Carol. 22 49-64. Zbl 0516.20033, MR 0654381 |
| Reference:
|
[LavFr] R. Laver: 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 |
| . |
