Kondo, Michiro On the class of QS-algebras. (English) Zbl 1070.06009 Int. J. Math. Math. Sci. 2004, No. 49-52, 2629-2639 (2004). 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)]. Reviewer: Wiesław A. Dudek (Wrocław) Cited in 1 Document MSC: 06F35 BCK-algebras, BCI-algebras Keywords:Abelian group; QS-algebra; polynomial equivalence Citations:Zbl 0665.06011 PDFBibTeX XMLCite \textit{M. Kondo}, Int. J. Math. Math. Sci. 2004, No. 49--52, 2629--2639 (2004; Zbl 1070.06009) Full Text: DOI EuDML