Paramedial Groupoids

  title={Paramedial Groupoids},
  author={Jung Rae Cho and Jaroslav Jezek and Tom{\'a}s Kepka},
By a paramedial groupoid we mean a groupoid satisfying the equation ax · yb = bx·ya. This equation is, in certain sense, symmetric to the equation of mediality xa· by = xb ·ay and, in fact, the theories of both varieties of groupoids are parallel. The present paper, initiating the study of paramedial groupoids, is meant as a modest contribution to the enormously difficult task of describing algebraic properties of varieties determined by strong linear identities (and, especially, of the… CONTINUE READING