GLOBAL DETERMINISM OF CLIFFORD SEMIGROUPS
Aiping Gan, Xianzhong Zhao · Journal of the Australian Mathematical Society · 2014
Abstract In this paper we shall give characterizations of the closed subsemigroups of a Clifford semigroup. Also, we shall show that the class of all Clifford semigroups satisfies the strong isomorphism property and so is globally determined. Thus the results obtained by Kobayashi [‘Semilattices are globally determined’,Semigroup Forum29(1984), 217–222] and by Gould and Iskra [‘Globally determined classes of semigroups’Semigroup Forum28(1984), 1–11] are generalized.