| Title:
|
An associative operation on monogenic left distributive systems (English) |
| Author:
|
Dehornoy, Patrick |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
1-6 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Term substitution induces an associative operation on the free objects of any equational variety. In the case of left distributivity, the construction can be extended to any monogenic structure. (English) |
| Keyword:
|
non-associative binary systems |
| MSC:
|
20N02 |
| idZBL:
|
Zbl 0843.20050 |
| idMR:
|
MR1334406 |
| . |
| Date available:
|
2009-01-08T18:15:25Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118724 |
| . |
| Reference:
|
[1] Dehornoy P.: Infinite products in monoids.Semigroup Forum 34 (1986), 21-68. Zbl 0601.20061, MR 0863838 |
| Reference:
|
[2] Dehornoy P.: The adjoint representation of a left distributive magma.Comm. in Algebra 20 -4 (1992), 1201-1215. MR 1154409 |
| Reference:
|
[3] Dehornoy P.: A Normal Form for the Free Left Distributive Law.Int. J. for Algebra & Computation, to appear. Zbl 0827.20079, MR 1313125 |
| Reference:
|
[4] Dehornoy P.: From Large Cardinals to Braids via Distributive Algebra.preprint, 1994. Zbl 0873.20030, MR 1321290 |
| Reference:
|
[5] Drápal A.: Homomorphisms of primitive left distributive groupoids.Comm. in Algebra 22 -7 (1994), 2579-2592. MR 1271624 |
| Reference:
|
[6] Drápal A.: On the semigroup structure of cyclic left distributive algebras.preprint, 1993, to appear in Semigroup Forum. MR 1336995 |
| Reference:
|
[7] Drápal A.: Finite Left Distributive Algebras with One Generator.preprint, 1994. MR 1477609 |
| Reference:
|
[8] El Bashir R., Drápal A.: Quasitrivial left distributive groupoids.preprint, 1993. |
| Reference:
|
[9] Kepka T: Notes on left distributive groupoids.Acta Univ. Carolinae 22 -2 (1981), 21-37. Zbl 0517.20048, MR 0654379 |
| Reference:
|
[10] Laver R.: On the algebra of elementary embeddings of a rank into itself.Advances in Math., to appear. Zbl 0822.03031, MR 1317621 |
| . |
