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Groupoids and the associative law. VIII: Diagonally non-associative groupoids. (English) Zbl 0889.20041

[For part VI cf. the preceding review Zbl 0889.20040.]
The present paper is a natural continuation of two papers of the second author. Here, the authors study in more detail the non-associative groupoids satisfying the implication \(a\cdot bc\neq ab\cdot c\Rightarrow a=b=c\). Groupoids possessing only diagonal non-associative triples are investigated in this paper.

MSC:

20N02 Sets with a single binary operation (groupoids)

Citations:

Zbl 0889.20040
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