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Article

Bashir, Robert El ; Ježek, Jaroslav ; Kepka, Tomáš
Simple zeropotent paramedial groupoids are balanced. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 2, pp. 397-399
MSC: 12K10, 13J25, 16Y60, 20M14, 20N02 | MR 1761396 | Zbl 1051.20031
Keywords:
commutative semigroup; invariant congruence
Summary:
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 .
References:
[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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