For a semigroup S, a mapping A : S S such that A(xy) = (Ax)y for all x, y E S. (xy)p .r(yp).Here left translations are considered as operation action on the left and righttranslations as operators acting onthe right. A band is a semigroup S iu which every element is an idempotent. A band B is said to be normal bandif for a:, y, z E B. xyzx = xzyx. Normal bands are also described as strong semilattices of rectangular bands.Here a characterization of translations of normal bands in terms of the structure mappings and translations ofthe associated rectangular bands in provided.
展开▼
