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Simple zeropotent paramedial groupoids are balanced. (English) Zbl 1051.20031

Summary: The purpose of this paper is to show that every simple zeropotent paramedial groupoid containing at least three elements is strongly balanced in the sense of T. Kepka and P. Němec [Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 35, 53-60 (1996; Zbl 0963.20036)].

MSC:

20N02 Sets with a single binary operation (groupoids)

Citations:

Zbl 0963.20036
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References:

[1] J. R. Cho, J. Ježek and T. Kepka: Paramedial groupoids (preprint). · Zbl 0955.20043
[2] J. R. Cho, J. Ježek and T. Kepka: Simple paramedial groupoids (preprint). · Zbl 0955.20044
[3] J. Ježek and T. Kepka: Linear equational theories and semimodule representations (preprint). · Zbl 0944.08003 · doi:10.1142/S0218196798000284
[4] T. Kepka and P. Němec: Simple balanced groupoids. Acta Univ. Palack. Olomouc. Fac. Rerum Natur. Math. 35 (1996), 53-60. · Zbl 0963.20036
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