Translatability and translatable semigroups

Translatability and translatable semigroups

Blog Article

The concept of a k-translatable groupoid is explored in depth.Some properties of idempotent k-translatable here groupoids, left cancellative k-translatable groupoids and left unitary k-translatablegroupoids are proved.Necessary and sufficient conditions are found for a left cancellative k-translatable groupoid to be a semigroup.

Any such semigroup is proved to be left unitary and a union disjoint copies of cyclic groups of the same order.Methods of constructing k-translatable semigroups that g5210t-p90 are not left cancellative are given.