Algebra in superextensions of inverse semigroups

Abstract

We find necessary and sufficient conditions on an (inverse) semigroup $X$ under which its semigroups of maximal linked systems $\lambda (X)$, filters $\varphi (X)$, linked upfamilies $N_2(X)$, and upfamilies $\upsilon (X)$ are inverse.

12 pages

References in corpus (3)

• Right-topological semigroup operations on inclusion hyperspaces
• Algebra in superextension of groups, II: cancelativity and centers
• Algebra in the superextensions of semilattices

Cited by in corpus (1)

• Automorphism groups of superextensions of finite monogenic semigroups