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MAYSAMİ SADR, Maysam; BOUZARJOMEHRİ AMNİEH, Danial
Communications in Advanced Mathematical Sciences, 09/2019, Letnik: 2, Številka: 3Journal Article
In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space. Also, we study cohomology groups of amenable topological semigroups, and we show that cohomology groups of rank greater than one of a compact left or right amenable semigroup, are trivial. Also, we give some examples and applications about topological lattices.
