The adjoint representation of left distributive structures

DOI10.1080/00927879208824398zbMath0752.08005OpenAlexW2112462868MaRDI QIDQ3991565

Patrick Dehornoy

Publication date: 28 June 1992

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879208824398

zbMATH Keywords

distributive lawassociative product\(LD\)-groupoids\(LD\)-magmasmonoid generated by left translations in left distributive structures

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Algebraic structures (08A99)

Related Items

On the semigroup structure of cyclic left distributive algebras ⋮ Persistence of cyclic left distributive algebras ⋮ Finite left-distributive algebras and embedding algebras ⋮ Homomorphisms of primitive left distributive groupoids ⋮ Finite left distributive algebras with one generator ⋮ Left division in the free left distributive algebra on one generator ⋮ Left-distributive embedding algebras ⋮ Left division in the free left distributive algebra on many generators ⋮ Enumerating left distributive groupoids ⋮ On braid words and irreflexivity

Cites Work

• Infinite products in monoids
• A classifying invariant of knots, the knot quandle
• Free distributive groupoids