On the class of QS-algebras (Q1777727)
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scientific article; zbMATH DE number 2171621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the class of QS-algebras |
scientific article; zbMATH DE number 2171621 |
Statements
On the class of QS-algebras (English)
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25 May 2005
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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)].
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Abelian group
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QS-algebra
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polynomial equivalence
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