1. Varieties of idempotent slim groupoids
- Creator:
- Ježek, Jaroslav
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- groupoid, variety, and nonfinitely based
- Language:
- English
- Description:
- Idempotent slim groupoids are groupoids satisfying $xx\=x$ and $x(yz)\=xz$. We prove that the variety of idempotent slim groupoids has uncountably many subvarieties. We find a four-element, inherently nonfinitely based idempotent slim groupoid; the variety generated by this groupoid has only finitely many subvarieties. We investigate free objects in some varieties of idempotent slim groupoids determined by permutational equations.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public