Number of algebraic operations in idempotent groupoids
On bisemilattices. I
A characterization of some idempotent abelian groupoids
Remarks on algebras having two bases of different cardinalities
On non-associative groupoids
Medial groupoids and Mersenne numbers
Varieties of idempotent commutative groupoids
On binary polynomials in idempotent commutative groupoids
A characterization of modular lattices
The minimal extension of sequences III. On problem 16 of Grätzer and Kisielewicz
The main result of this paper is a description of totally commutative idempotent groupoids. In particular, we show that if an idempotent groupoid (G,·) has precisely m ≥ 2 distinct essentially binary polynomials and they are all commutative, then G contains a subgroupoid isomorphic to the groupoid described below. In [2], this fact was proved for m = 2.
Number of polynomials in dependence preserving algebras
On universal algebras having bases of different cardinalities
A polynomial characterization of affine spaces over GF(3)
Weak automorphisms of linear spaces and of some other abstract algebras
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