An associative operation on monogenic left distributive systems

Patrick Dehornoy

Commentationes Mathematicae Universitatis Carolinae (1995)

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

Abstract

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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.

How to cite

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Dehornoy, 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

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

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