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Article

Kepka, Tomáš
Non-idempotent left symmetric left distributive groupoids. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 181-186
MSC: 08B20, 20N02 | MR 1292593 | Zbl 1102.20045
Keywords:
groupoid; symmetric; distributive
Summary:
Subdirectly irreducible non-idempotent groupoids satisfying $x\cdot xy=y$ and \linebreak $x\cdot yz=xy\cdot xz$ are studied.
References:
[1] Dehornoy P.: Free distributive groupoids. Journal of Pure and Appl. Algebra 61 (1989), 123-146. MR 1025918 | Zbl 0686.20041
[2] Laver R.: The left distributive law and the freeness of an algebra of elementary embeddings. Advances in Mathematics 91 (1992), 209-231. MR 1149623 | Zbl 0822.03030
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