Results 61 to 70 of about 687 (157)
On representation of semigroups of inclusion hyperspaces
Karpatsʹkì Matematičnì Publìkacìï, 2010 Given a group $X$ we study the algebraic structure of the compactright-topological semigroup $G(X)$ consisting of inclusionhyperspaces on $X$. This semigroup contains the semigroup$lambda(X)$ of maximal linked systems as a closed subsemigroup.We ...
Gavrylkiv V.M.
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The largest proper congruence on S(X)
International Journal of Mathematics and Mathematical Sciences, 1984 S(X) denotes the semigroup of all continuous selfmaps of the topological space X. In this paper, we find, for many spaces X, necessary and sufficient conditions for a certain type of congruence to be the largest proper congruence on S(X).
K. D. Magill
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Positive answers to Koch’s problem in special cases
Topological Algebra and its Applications, 2020 A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact.
Banakh Taras +4 more
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The hull-kernel topology on prime ideals in ordered semigroups
Open MathematicsThe aim of this study is to develop the theory of prime ideals in ordered semigroups. First, to ensure the existence of prime ideals, we study a class of ordered semigroups which will be denoted by SIP{{\mathbb{S}}}_{IP}.
Wu Huanrong, Zhang Huarong
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On the orbits of G-closure points of ultimately nonexpansive mappings
Fixed Point Theory and Applications, 2006 Let X be a closed subset of a Banach space and G an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the G-closure of X is nonempty, then the closure of the orbit of any G-closure point is a commutative topological group.
Mo Tak Kiang
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Fixed Point Theory and Applications, 2017 We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the equation is a closed unbounded generator of a C
Mikhail Kamenskii +3 more
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Even continuity and topological equicontinuity in topologized semigroups
Topology and its Applications, 2009 AbstractA topologized semigroup X having an evenly continuous resp., topologically equicontinuous, family RX of right translations is investigated. It is shown that: (1) every left semitopological semigroup X with an evenly continuous family RX is a topological semigroup, (2) a semitopological group X is a paratopological group if and only if the ...
Vaja Tarieladze +2 more
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Right simple subsemigroups and right subgroups of compact convergence semigroups
International Journal of Mathematics and Mathematical Sciences, 2000 Clifford and Preston (1961) showed several important characterizations of right groups. It was shown in Roy and So (1998) that, among topological semigroups, compact right simple or left cancellative semigroups are in fact right groups, and the closure ...
Phoebe Ho, Shing S. So
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On fuzzy (right-topological) semigroups
Journal of Mathematical Analysis and Applications, 1988 On etend des resultats de Foster sur les images homomorphes et les images inverses aux semigroupes topologiques a droite ...
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Topological structure of solution sets for fractional evolution inclusions of Sobolev type
Boundary Value Problems, 2018 The paper is devoted to establishing the solvability and topological property of solution sets for the fractional evolution inclusions of Sobolev type. We obtain the existence of mild solutions under the weaker conditions that the semigroup generated by −
Pengxian Zhu, Qiaomin Xiang
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