| Some properties of π-regular semigroups are given,by using the revelant properties of full regular subsemigroup lattices of regular semigroups,we study the properties and characteristics of full π-regular subsemigroup lattices of π-regular semigroups,and then the necessary and sufficient conditions of π-regular semigroups whose full π-regular subsemigroup lattices are distributive lattices,0-distributive lattices and chain are obtained.Finally,the Green* equivalence relations and sandwich set of π-regular semigroups are studied. |
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