Geodesic
Uniformity of congruences in coherent varieties
Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 269-273

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An algebra $a$ is uniform if for each $\theta\in\Con a$, every two classes of $\theta$ have the same cardinality. It was shown by W. Taylor that coherent varieties need not be uniform (and vice versa). We show that every coherent variety having transferable congruences is uniform.
An algebra $a$ is uniform if for each $\theta\in\Con a$, every two classes of $\theta$ have the same cardinality. It was shown by W. Taylor that coherent varieties need not be uniform (and vice versa). We show that every coherent variety having transferable congruences is uniform.
DOI : 10.21136/MB.2000.126134
Classification : 08A30, 08B05
Keywords: uniformity; regularity; permutability; coherence; transferable congruences; Mal'cev condition 
Chajda, Ivan. Uniformity of congruences in coherent varieties. Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 269-273. doi: 10.21136/MB.2000.126134
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