منابع مشابه
Enumerating Left Distributive Groupoids
Groupoids satisfying the equation x(yz) = (xy)(xz) are called left distributive, or LD-groupoids. We give an algorithm for their enumeration and prove several results on the collection of LD-groupoids extending a given monounary algebra.
متن کاملNon-idempotent left symmetric left distributive groupoids
Subdirectly irreducible non-idempotent groupoids satisfying x · xy = y and x · yz = xy · xz are studied.
متن کاملSelfdistributive groupoids Part D1: Left distributive semigroups
Every semilattice (i.e., an idempotent commutative semigroup) is selfdistributive. An explicit formulation of this fact (perhaps for the first time) can be found already in C. S. Pierce [Pie,80]. A structural study of two-sided selfdistributive semigroups was initiated in M. Petrich [Pet,69] and that of one-sided selfdistributive semigroups ten years later in S. Markovski [Mar,79]. Altogether, ...
متن کاملSelfdistributive Groupoids. Part A2: Non-idempotent Left Distributive Left Quasigroups
The present paper is a comprehensive survey of non-indempotent left distributive left quasigroups. It contains several new results about free groupoids and normal forms of terms in certain subvarieties. It is a continuation of a series of papers on selfdistributive groupoids, started by [KepN,03].
متن کاملOn 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: Czechoslovak Mathematical Journal
سال: 1997
ISSN: 0011-4642,1572-9141
DOI: 10.1023/a:1022826819995