Function ∪-semigroups
B. M. Schein (1974)
Colloquium Mathematicae
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B. M. Schein (1974)
Colloquium Mathematicae
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P.A. Grillet (1995)
Semigroup forum
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Anzelm Iwanik (1977)
Colloquium Mathematicae
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A. Batbedat, J.B. Fountain (1981)
Semigroup forum
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J. Gilewski (1972)
Colloquium Mathematicae
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Bálint Farkas (2004)
Studia Mathematica
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The notion of bi-continuous semigroups has recently been introduced to handle semigroups on Banach spaces that are only strongly continuous for a topology coarser than the norm-topology. In this paper, as a continuation of the systematic treatment of such semigroups started in [20-22], we provide a bounded perturbation theorem, which turns out to be quite general in view of various examples.
J. P. Holmes (1974)
Colloquium Mathematicae
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Kar-Ping Shum, Lan Du, Yuqi Guo (2010)
Discussiones Mathematicae - General Algebra and Applications
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Green's relations and their generalizations on semigroups are useful in studying regular semigroups and their generalizations. In this paper, we first give a brief survey of this topic. We then give some examples to illustrate some special properties of generalized Green's relations which are related to completely regular semigroups and abundant semigroups.
Dimovski, Dončo, Čupona, Ǵorǵi (1999)
Novi Sad Journal of Mathematics
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P.R. Jones (1980)
Semigroup forum
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Ze Gu, Xilin Tang (2015)
Open Mathematics
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In this paper, we give some new characterizations of orthodox semigroups in terms of the set of inverses of idempotents. As a generalization, a new class of regular semigroups, namely Vn-semigroups, is introduced. Also, we give a characterization of Vn-semigroups and investigate some properties of Vn-semigroups. Furthermore, we show that the class of Vn-semigroups is closed under direct products and homomorphic images. However, regular subsemigroups of Vn-semigroups (n ≥ 2) are not necessarily...
Sheng Wang Wang (2002)
Studia Mathematica
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Motivated by a great deal of interest recently in operators that may not be densely defined, we deal with regularized semigroups and integrated semigroups that are either not exponentially bounded or not defined on [0,∞) and generated by closed operators which may not be densely defined. Some characterizations and related examples are presented. Our results are extensions of the corresponding results produced by other authors.
B. M. Schein (1973)
Colloquium Mathematicae
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