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commutative semigroup; invariant congruence
This short note is a continuation of and and its purpose is to show that every simple zeropotent paramedial groupoid containing at least three elements is strongly balanced in the sense of .
[1] J. R. Cho, J. Ježek and T. Kepka: Paramedial groupoids (preprint). MR 1692473
[2] J. R. Cho, J. Ježek and T. Kepka: Simple paramedial groupoids (preprint). MR 1692520
[3] J. Ježek and T. Kepka: Linear equational theories and semimodule representations (preprint). MR 1675018
[4] T. Kepka and P. Němec: Simple balanced groupoids. Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. 35 (1996), 53–60. MR 1485044
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