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Ideals in selfdistributive groupoids. (English) Zbl 0807.20058
Let $$G$$ be a left distributive groupoid. Denote by $$P(G)$$ the groupoid of all subsets of $$G$$, and by $$R(G)$$ the subgroupoid of $$P(G)$$ generated by the element $$G$$. Some technical results are proved from which it follows that $$R(G)$$ is a medial, left distributive groupoid which is linearly ordered by inclusion; this ordering is stable.
Reviewer: J.Ježek (Praha)
##### MSC:
 20N02 Sets with a single binary operation (groupoids) 20M12 Ideal theory for semigroups
##### Keywords:
left distributive groupoids
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