Quasitrivial left distributive groupoids

Robert El Bashir; Aleš Drápal

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 4, page 597-606
  • ISSN: 0010-2628

Abstract

top
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 ( * , ∘ ) such that A ( * ) is a quasitrivial groupoid.

How to cite

top

El Bashir, Robert, and Drápal, Aleš. "Quasitrivial left distributive groupoids." Commentationes Mathematicae Universitatis Carolinae 35.4 (1994): 597-606. <http://eudml.org/doc/247608>.

@article{ElBashir1994,
abstract = {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.},
author = {El Bashir, Robert, Drápal, Aleš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {left distributive groupoid; quasitrivial groupoid; left distributive groupoids; subdirectly irreducible},
language = {eng},
number = {4},
pages = {597-606},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Quasitrivial left distributive groupoids},
url = {http://eudml.org/doc/247608},
volume = {35},
year = {1994},
}

TY - JOUR
AU - El Bashir, Robert
AU - Drápal, Aleš
TI - Quasitrivial left distributive groupoids
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 4
SP - 597
EP - 606
AB - 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.
LA - eng
KW - left distributive groupoid; quasitrivial groupoid; left distributive groupoids; subdirectly irreducible
UR - http://eudml.org/doc/247608
ER -

References

top
  1. Dehornoy P., The adjoint representations of left distributive structures, Comm. Algebra 20 (1992), 1201-1215. (1992) MR1154409
  2. Dehornoy P., Braid groups and left distributive structures, Transactions AMS, to appear. 
  3. Drápal A., Kepka T., Musílek M., Group conjugation has non-trivial LD-identities, Comment. Math. Univ. Carolinae 35 (1994), 219-222. (1994) MR1286567
  4. Ježek J., Kepka T., Quasitrivial and nearly quasitrivial distributive groupoids and semigroups, Acta Univ. Carol. 19 (1978), 225-237. (1978) MR0509345
  5. Kepka T., Quasitrivial groupoids and balanced identities, Acta Univ. Carol. 22 49-64. Zbl0516.20033MR0654381
  6. R. Laver, The left distributive law and the freeness of an algebra of elementary embeddings, Advances in Mathematics 91 (1992), 209-231. (1992) Zbl0822.03030MR1149623

NotesEmbed ?

top

You must be logged in to post comments.

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

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.