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Subdirectly irreducible non-idempotent left symmetric left distributive groupoids

100%

Jeřábek E., Kepka T., Stanovský D.

Discussiones Mathematicae - General Algebra and Applications

2005

tom 25

nr 2

235-257

We study groupoids satisfying the identities x·xy = y and x·yz = xy·xz. Particularly, we focus our attention at subdirectlyirreducible ones, find a description and charecterize small ones.

On varieties of left distributive left idempotent groupoids

75%

Stanovský D.

Discussiones Mathematicae - General Algebra and Applications

2004

tom 24

nr 2

267-275

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 xⁿ ≈ x decomposes as the direct product of its largest idempotent factor and a cycle. Some properties of subdirectly ireducible LDLI groupoids are found.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

2 Stanovský D.

1 Jeřábek E.

1 Kepka T.

1 2005

1 2004

Wyniki wyszukiwania

Subdirectly irreducible non-idempotent left symmetric left distributive groupoids

On varieties of left distributive left idempotent groupoids