A characterization of dual semigroups without nilpotent ideals.
O. Steinfeld (1977)
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O. Steinfeld (1977)
Semigroup forum
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J. Rhodes, J. Karnofsky (1982)
Semigroup forum
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Štefan Schwarz (1951)
Czechoslovak Mathematical Journal
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Marek Ptak (1991)
Annales Polonici Mathematici
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Abstract. We consider the reflexivity of a WOT-closed algebra generated by continuous isometric semigroups parametrized by the semigroup of non-negative reals or the semigroup of finite sequences of non-negative reals. It is also proved that semigroups of continuous unilateral multi-parameter shifts are reflexive.
John Rhodes (1969-1970)
Séminaire Dubreil. Algèbre et théorie des nombres
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F. Catino, F. Migliorini (1992)
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E. D. DeVun (1980)
Semigroup forum
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Dariush Heidari, Marzieh Amooshahi (2013)
Discussiones Mathematicae - General Algebra and Applications
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The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups. Finally, we study some relationships between Green's equivalence relations of a Γ-semigroup and its left (right) transformation semigroup.