强π-逆半直积

Strongly π-Inverse Semidirect Product

给出两个半群S和T的半直积是强π-逆半群,强-π-E-酉逆半群和E-酉逆半群的充要条件,同时还讨论了E-酉逆半群的最小群同余与半直积的最小群同余之间的关系.

This paper gives necessary and sufficient conditions for the semidirect products of semigroups S and T to be strongly π-inverse semigroup, strongly π-E-unitary inverse semigroup and E-unitary inverse semigroup. Furthermore, this paper dicusses the relation between the minimum group congruences of the E-unitary inverse semigroup and the semidirect product.