Український математичний конгрес  2009
Volodymyr Gavrylkiv (Vasyl Stefanyk Precarpathian National University, IvanoFrankivsk, Ukraine) Minimal left ideals of the superextensions of groups In the talk we shall discuss the structure of minimal (left) ideals of the superextensions of Abelian groups G. We define a group G to be odd if the order of each element x of G is odd. We prove that a group G is odd if and only if all the minimal left ideals of the semigroup of maximal linked systems are singletons. In this case the minimal ideal of the superextensions of G is a closed right zeros semigroup consisting of invariant maximal linked systems.
