# An associative operation on monogenic left distributive systems

Commentationes Mathematicae Universitatis Carolinae (1995)

- Volume: 36, Issue: 1, page 1-6
- ISSN: 0010-2628

## Access Full Article

top## Abstract

top## How to cite

topDehornoy, Patrick. "An associative operation on monogenic left distributive systems." Commentationes Mathematicae Universitatis Carolinae 36.1 (1995): 1-6. <http://eudml.org/doc/247733>.

@article{Dehornoy1995,

abstract = {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.},

author = {Dehornoy, Patrick},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {non-associative binary systems; LD-groupoids; LD-algebras},

language = {eng},

number = {1},

pages = {1-6},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {An associative operation on monogenic left distributive systems},

url = {http://eudml.org/doc/247733},

volume = {36},

year = {1995},

}

TY - JOUR

AU - Dehornoy, Patrick

TI - An associative operation on monogenic left distributive systems

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1995

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 36

IS - 1

SP - 1

EP - 6

AB - 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.

LA - eng

KW - non-associative binary systems; LD-groupoids; LD-algebras

UR - http://eudml.org/doc/247733

ER -

## References

top- Dehornoy P., Infinite products in monoids, Semigroup Forum 34 (1986), 21-68. (1986) Zbl0601.20061MR0863838
- Dehornoy P., The adjoint representation of a left distributive magma, Comm. in Algebra 20 -4 (1992), 1201-1215. (1992) MR1154409
- Dehornoy P., A Normal Form for the Free Left Distributive Law, Int. J. for Algebra & Computation, to appear. Zbl0827.20079MR1313125
- Dehornoy P., From Large Cardinals to Braids via Distributive Algebra, preprint, 1994. Zbl0873.20030MR1321290
- Drápal A., Homomorphisms of primitive left distributive groupoids, Comm. in Algebra 22 -7 (1994), 2579-2592. (1994) MR1271624
- Drápal A., On the semigroup structure of cyclic left distributive algebras, preprint, 1993, to appear in Semigroup Forum. MR1336995
- Drápal A., Finite Left Distributive Algebras with One Generator, preprint, 1994. MR1477609
- El Bashir R., Drápal A., Quasitrivial left distributive groupoids, preprint, 1993.
- Kepka T, Notes on left distributive groupoids, Acta Univ. Carolinae 22 -2 (1981), 21-37. (1981) Zbl0517.20048MR0654379
- Laver R., On the algebra of elementary embeddings of a rank into itself, Advances in Math., to appear. Zbl0822.03031MR1317621

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.