Congruences on ~ bisimple right type B w - semigroups

摘要

The structure of a ~ bisimple right type B w - semigroup was described by Li, Wang, Xu and Huang as the generalized Bruck-Reilly extensions. As a continuation of their work, in this paper, we shall consider some classes of congruences on such semigroups. It is shown that an arbitrary right * congruence on some classes of ~ bisimple right type B w - semigroups is either an idempotent-separating congruence or a left cancellative congruence.