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On the class of QS-algebras. (English) Zbl 1070.06009

The class of QS-algebras is polynomially equivalent to the class of abelian groups, namely: \((G;*,0)\) is a QS-algebra iff \((G;+,0)\), where \(x+y=x*(0*y)\), is an abelian group. Then \(x*y=x-y\).
This fact follows also from my paper “On group-like BCI-algebras” [Demonstr. Math. 21, 369–376 (1988; Zbl 0665.06011)].

MSC:

06F35 BCK-algebras, BCI-algebras

Citations:

Zbl 0665.06011
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