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P -hypergoupes

Thomas N. Vougiouklis, L. Konguetsof (1987)

Acta Universitatis Carolinae. Mathematica et Physica

Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology

Taras Banakh, Igor Guran (2013)

Topological Algebra and its Applications

In this paper we introduce perfectly supportable semigroups and prove that they are σ-discrete in each Hausdorff shiftinvariant topology. The class of perfectly supportable semigroups includes each semigroup S such that FSym(X) ⊂ S ⊂ FRel(X) where FRel(X) is the semigroup of finitely supported relations on an infinite set X and FSym(X) is the group of finitely supported permutations of X.

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