The regular element for variant semigroup of partial transformation semigroup preserving an equivalence relation
Qin Mei-qing · 2010
On the basis of semigroups of partial transformations preserving an equivalence relation,we derive the nation of variant semigroups of partial transformation semigroup preserving an equivalence through Green’s relations and the regularity of idempotent and discuss the regularity for an element of this semigroup and give the sufficient and necessary condition of an element of variant semigroups of partial transformation semigroup preserving an equivalence is regular.