On R-Right (L-Left) Cancellative and Weakly R(L)-Cancellative Semigroups
Akbar Golchin, Hossein Mohammadzadeh Saany · 2007
In this paper we introduce R-right (left), L-left (right) cancellative and weakly R(L)-cancellative semigroups and will give some equivalent conditions for completely simple semigroups, (completely) regular right (left) cancellative semigroups, right (left) groups, rectangular groups, rectangular bands, groups and right (left) zero semigroups according to R-right (left), L-left (right) and weak R(L)-cancellativity.