Geodesic
The minimal extension of sequences III. On problem 16 of Grätzer and Kisielewicz
Colloquium Mathematicum, Tome 71 (1996) no. 2, pp. 335-338

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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 $N_m$ described below. In [2], this fact was proved for m = 2.
DOI : 10.4064/cm-71-2-335-338

J. Dudek 1

1 
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J. Dudek. The minimal extension of sequences III. On problem 16 of Grätzer and Kisielewicz. Colloquium Mathematicum, Tome 71 (1996) no. 2, pp. 335-338. doi: 10.4064/cm-71-2-335-338

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