Quasitrivial left distributive groupoids
El Bashir, Robert ; Drápal, Aleš
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 597-606 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 1994-01-01
Classification:  20N02
@article{118701,
     author = {Robert El Bashir and Ale\v s Dr\'apal},
     title = {Quasitrivial left distributive groupoids},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {597-606},
     zbl = {0843.20051},
     mrnumber = {1321230},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118701}
}
El Bashir, Robert; Drápal, Aleš. Quasitrivial left distributive groupoids. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 597-606. http://gdmltest.u-ga.fr/item/118701/

Dehornoy P. The adjoint representations of left distributive structures, Comm. Algebra 20 (1992), 1201-1215. (1992) | MR 1154409

Dehornoy P. Braid groups and left distributive structures, Transactions AMS, to appear.

Drápal A.; Kepka T.; Musílek M. Group conjugation has non-trivial LD-identities, Comment. Math. Univ. Carolinae 35 (1994), 219-222. (1994) | MR 1286567

Ježek J.; Kepka T. Quasitrivial and nearly quasitrivial distributive groupoids and semigroups, Acta Univ. Carol. 19 (1978), 225-237. (1978) | MR 0509345

Kepka T. Quasitrivial groupoids and balanced identities, Acta Univ. Carol. 22 49-64. | MR 0654381 | Zbl 0516.20033

R. Laver The left distributive law and the freeness of an algebra of elementary embeddings, Advances in Mathematics 91 (1992), 209-231. (1992) | MR 1149623 | Zbl 0822.03030