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Non-idempotent left symmetric left distributive groupoids. (English) Zbl 0807.20057

The paper initiates a study of not necessarily idempotent groupoids satisfying the identities \(x(xy) = y\) and \(x(yz) = (xy)(xz)\). Subdirectly irreducible such groupoids and their varieties are investigated.
Reviewer: J.Ježek (Praha)

MSC:

20N02 Sets with a single binary operation (groupoids)
20M07 Varieties and pseudovarieties of semigroups
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