On varieties of left distributive left idempotent groupoids

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On Varieties of Left Distributive Left Idempotent Groupoids

We describe a part of the lattice of subvarieties of left distributive left idempotent groupoids (i.e. those satisfying the identities x(yz) ≈ (xy)(xz) and (xx)y ≈ xy) modulo the lattice of subvarieties of left distributive idempotent groupoids. A free groupoid in a subvariety of LDLI groupoids satisfying an identity x ≈ x decomposes as the direct product of its largest idempotent factor and a ...

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ژورنال

عنوان ژورنال: Discussiones Mathematicae - General Algebra and Applications

سال: 2004

ISSN: 1509-9415,2084-0373

DOI: 10.7151/dmgaa.1089