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

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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

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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

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  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

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