Completely inverse $A{G}^{\ast \ast }$-groupoids

Wieslaw A. Dudek, Roman S. Gigoń

A completely inverse $A{G}^{\ast \ast }$-groupoid is a groupoid satisfying the identities $(xy)z=(zy)x$, $x(yz)=y(xz)$ and $x{x}^{-1}=x^{-1}x$, where $x^{-1}$ is a unique inverse of $x$, that…