Strong splittability over semigroups
Zhiling Yuan · Journal of Northwest University · 2008
Aim To study the strong splittability of the semigroup class of archimedean semigroup,π-regular semigroup and so on.Methods The concept of splittability in topology is introudced to some classic non-regular semigroups,by a inverse method with semigroup transversal,research a semigroup by the properties of semigroup classes.Results If a semigroup is strongly pointwise onto-splittable over a class of archimdean semigroups or π-regular semigroups,then the semigroup is also a archimedean semigroup or π-regular semigroup.Conclusion The results of Marron D J,Mcmaster T B and Hanna A J are generalized to non-regular semigroups.