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Relevant bibliographies by topics / Topological Semigroup

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Academic literature on the topic 'Topological Semigroup'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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Journal articles on the topic "Topological Semigroup"

1

Berezovski, Tetyana, Oleg Gutik, and Kateryna Pavlyk. "Brandt Extensions and Primitive Topological Inverse Semigroups." International Journal of Mathematics and Mathematical Sciences 2010 (2010): 1–13. http://dx.doi.org/10.1155/2010/671401.

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We study (countably) compact and (absolutely) -closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup.

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Haynes, Tyler. "Thickness in topological transformation semigroups." International Journal of Mathematics and Mathematical Sciences 16, no. 3 (1993): 493–502. http://dx.doi.org/10.1155/s0161171293000602.

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This article deals with thickness in topological transformation semigroups (τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on aτ-semigroup if there exists an invariant mean on its functions restricted to a sub-τ-semigroup of the originalτ-semigroup. We sketch earlier results, then give many equivalent conditions for thickness onτ-semigroups, and finally present theorems giving conditions for an invariant mean to exist on a function space.

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Zhao, Bin, Changchun Xia, and Kaiyun Wang. "Topological semigroups and their prequantale models." Filomat 31, no. 19 (2017): 6205–10. http://dx.doi.org/10.2298/fil1719205z.

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In this paper, we introduce a condition (?) on topological semigroups, and prove that every T1 topological semigroup satisfying condition (?) has a bounded complete algebraic prequantale model. On the basis of this result, we also show that every T0 topological semigroup satisfying condition (?) can be embedded into a compact and locally compact sober topological semigroup.

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Gumerov, R. N., and E. V. Lipacheva. "Topological Grading of Semigroup C*-Algebras." Herald of the Bauman Moscow State Technical University. Series Natural Sciences, no. 3 (90) (June 2020): 44–55. http://dx.doi.org/10.18698/1812-3368-2020-3-44-55.

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The paper deals with the abelian cancellative semigroups and the reduced semigroup C*-algebras. It is supposed that there exist epimorphisms from the semigroups onto the group of integers modulo n. For these semigroups we study the structure of the reduced semigroup C*-algebras which are also called the Toeplitz algebras. Such a C*-algebra can be defined for any non-abelian left cancellative semigroup. It is a very natural object in the category of C*-algebras because this algebra is generated by the left regular representation of a semigroup. In the paper, by a given epimorphism σ we construc

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Shirazi, Zadeh, and Nasser Golestani. "On classifications of transformation semigroups: Indicator sequences and indicator topological spaces." Filomat 26, no. 2 (2012): 313–29. http://dx.doi.org/10.2298/fil1202313s.

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In this paper considering a transformation semigroup with finite height we define the notion of indicator sequence in such a way that any two transformation semigroups with the same indicator sequence have the same height. Also related to any transformation semigroup a topological space, called indicator topological space, is defined in such a way that transformation semigroups with homeomorphic indicator topological spaces have the same height. Moreover any two transformation semigroups with homeomorphic indicator topological spaces and finite height have the same indicator sequences.

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Hernández Arzusa, Julio César. "Commutative Topological Semigroups Embedded into Topological Abelian Groups." Axioms 9, no. 3 (2020): 87. http://dx.doi.org/10.3390/axioms9030087.

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In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group. We prove that every feebly compact regular first countable cancellative commutative topological semigroup with open shifts is a topological group, as well as every connected locally compact Hausdorff cancellative commutative topological monoid with open shifts. Finally, we use these results to give sufficient conditions on a commutative topological semigroup that guarantee it to have countable cellularity.

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Bardyla, Serhii, and Alex Ravsky. "Closed subsets of compact-like topological spaces." Applied General Topology 21, no. 2 (2020): 201. http://dx.doi.org/10.4995/agt.2020.12258.

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<p>We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open dense subspaces of<br />countably pracompact topological spaces. We construct a pseudocompact topological semigroup which contains the bicyclic monoid as a closed subsemigroup. This example provides an affirmative answer to a question posed by Banakh, Dimitrova, and Gutik in [4]. Also, we show that the semigroup of ω×ω-matrix units

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Reynolds, Beth Borel, and Victor Schneider. "Modified Whyburn semigroups." International Journal of Mathematics and Mathematical Sciences 11, no. 1 (1988): 205–7. http://dx.doi.org/10.1155/s0161171288000249.

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Muradov, F. Kh. "Ternary semigroups of topological transformations." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 102, no. 2 (2021): 84–91. http://dx.doi.org/10.31489/2021m2/84-91.

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A ternary semigroup is a nonempty set with a ternary operation which is associative. The purpose of the present paper is to give a characterization of open sets of finite-dimensional Euclidean spaces by ternary semigroups of pairs of homeomorphic transformations and extend to ternary semigroups certain results of L.M. Gluskin concerned with semigroups of homeomorphic transformations of finite-dimensional Euclidean spaces.

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(Papazyan), Talin Budak. "Compactifications of discrete versions of semitopological semigroups by filters of zero sets." Mathematical Proceedings of the Cambridge Philosophical Society 109, no. 2 (1991): 363–73. http://dx.doi.org/10.1017/s0305004100069826.

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AbstractThe maximal proper prime filters together with the ultrafilters of zero sets of any metrizable compact topological space are shown to have a compact Hausdorff topology in which the ultrafilters form a discrete, dense subspace. This gives a general theory of compactifications of discrete versions of compact metrizable topological spaces and some of the already known constructions of compact right topological semigroups are special cases of the general theory. In this way, simpler and more elegant proofs for these constructions are obtained.In [8], Pym constructed compactifications for d

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Dissertations / Theses on the topic "Topological Semigroup"

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Matthews, Joseph. "Topological ideas in inverse semigroup theory." Thesis, Cardiff Metropolitan University, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.402633.

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Walmsley, David. "A Constructive Approach to the Universality Criterion for Semigroups." Bowling Green State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1490028671735536.

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Christopherson, John Cory. "Closed Ideals in the Stone-Čech Compactification of a Countable Semigroup and Some Applications to Ergodic Theory and Topological Dynamics." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1395847452.

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Schreiber, Marco [Verfasser]. "Topological Wiener-Wintner Theorems for Amenable Semigroups / Marco Schreiber." München : Verlag Dr. Hut, 2013. http://d-nb.info/1033041483/34.

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Mendivil, Franklin. "Compactifications and function spaces." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/29226.

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Cordeiro, Luiz Gustavo. "Soficity and Other Dynamical Aspects of Groupoids and Inverse Semigroups." Thesis, Université d'Ottawa / University of Ottawa, 2018. http://hdl.handle.net/10393/38022.

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This thesis is divided into four chapters. In the first one, all the pre-requisite theory of semigroups and groupoids is introduced, as well as a few new results - such as a short study of ∨-ideals and quotients in distributive semigroups and a non-commutative Loomis-Sikorski Theorem. In the second chapter, we motivate and describe the sofic property for probability measure-preserving groupoids and prove several permanence properties for the class of sofic groupoids. This provides a common ground for similar results in the particular cases of groups and equivalence relations. In particular, we

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Santos, Ariane Luzia dos. "Controlabilidade de sistemas de controle em grupos de Lie simples e a topologia das variedades flag." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305807.

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Orientador: Luiz Antonio Barrera San Martin<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica.<br>Made available in DSpace on 2018-08-19T06:18:00Z (GMT). No. of bitstreams: 1 Santos_ArianeLuziados_D.pdf: 829222 bytes, checksum: 870721241f42ea4a1c1748427ae28d99 (MD5) Previous issue date: 2011<br>Resumo: Seja S um semigrupo com interior não vazio de um grupo de Lie simples G, conexo, complexo ou real. No caso em que o grupo G é real também considere-o não compacto, com centro finito e cuja álgebra de Lie é uma forma real, norm

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Ochoa, Arango Jesús Alonso. "Grupoides y algebroides dobles de Lie /." Doctoral thesis, 2010. http://hdl.handle.net/11086/144.

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Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2010.<br>En este trabajo demostramos que todo grupoide doble de Lie con acción medular propia esta completamente determinado por una factorización de un cierto grupoide de Lie diagonal canónicamente definido. Tambien, estudiamos la versión infinitesimal de este concepto, la de algebroide doble de Lie y como resultado introducimos una nueva clase de ejemplos construidos a partir de ciertos diagramas de álgebras de Lie. En la parte final, proponemos los conceptos de biálgebra infinitesim

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Books on the topic "Topological Semigroup"

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Hofmann, Karl H., Jimmie D. Lawson, and John S. Pym, eds. The Analytical and Topological Theory of Semigroups. DE GRUYTER, 1990. http://dx.doi.org/10.1515/9783110856040.

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1930-, Auslander Joseph, and Glasner Eli 1945-, eds. The topological dynamics of Ellis actions. American Mathematical Society, 2008.

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1939-, Junghenn Hugo D., and Milnes Paul, eds. Analysis on semigroups: Function spaces, compactifications, representations. Wiley, 1989.

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4

Paterson, Alan L. T. Groupoids, Inverse Semigroups, and their Operator Algebras. Birkhäuser Boston, 1999.

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5

Hindman, Neil. Algebra in the Stone-Čech compactification: Theory and applications. Walter de Gruyter, 1998.

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6

1934-, Strauss Dona, ed. Algebra in the Stone-Čech compactification: Theory and applications. 2nd ed. De Gruyter, 2012.

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Hindman, Neil. Algebra in the Stone-Čech compactification: Theory and applications. Walter de Gruyter, 1998.

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8

Heinrich, Hofmann Karl. Lie groups and subsemigroups with surjective exponential fuction. American Mathematical Society, 1997.

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9

An introduction to the representation theory of groups. American Mathematical Society, 2014.

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10

Tulane University. Dept. of Mathematics, ed. Mathematical foundations of information flow: Clifford lectures on information flow in physics, geometry and logic and computation, March 12-15, 2008, Tulane University, New Orleans, Louisiana. American Mathematical Society, 2012.

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Book chapters on the topic "Topological Semigroup"

1

Davis, Richard A., Keh-Shin Lii, and Dimitris N. Politis. "Limits of Convolution Sequences of Measures on a Compact Topological Semigroup." In Selected Works of Murray Rosenblatt. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-8339-8_19.

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2

Akin, Ethan. "Semigroups and Families." In Recurrence in Topological Dynamics. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4757-2668-8_8.

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Krishnan, E., and V. Sherly. "Topological Rees Matrix Semigroups." In Semigroups, Algebras and Operator Theory. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2488-4_8.

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4

Lyubich, Yurii I. "Topological Groups and Semigroups." In Introduction to the Theory of Banach Representations of Groups. Birkhäuser Basel, 1988. http://dx.doi.org/10.1007/978-3-0348-9169-1_2.

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Akin, Ethan. "Ellis Semigroups and Ellis Actions." In Recurrence in Topological Dynamics. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4757-2668-8_7.

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6

Högnäs, Göran, and Arunava Mukherjea. "Probability Measures on Topological Semigroups." In Probability Measures on Semigroups. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4757-2388-5_2.

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Högnäs, Göran, and Arunava Mukherjea. "Probability Measures on Topological Semigroups." In Probability and Its Applications. Springer US, 2010. http://dx.doi.org/10.1007/978-0-387-77548-7_2.

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Arhangel’skii, Alexander, and Mikhail Tkachenko. "Introduction to Topological Groups and Semigroups." In Atlantis Studies in Mathematics. Atlantis Press, 2008. http://dx.doi.org/10.2991/978-94-91216-35-0_1.

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Adhikari, Mahima Ranjan, and Avishek Adhikari. "Actions of Groups, Topological Groups and Semigroups." In Basic Modern Algebra with Applications. Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1599-8_3.

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Chen, Zhen-Qing, and Masatoshi Fukushima. "Symmetric Markovian Semigroups and Dirichlet Forms." In Symmetric Markov Processes, Time Change, and Boundary Theory (LMS-35). Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691136059.003.0001.

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This chapter studies the concepts of Dirichlet form and Dirichlet space by first working with a σ‎-finite measure space (E,B(E),m) without any topological assumption on E and establish the correspondence of the above-mentioned notions to the semigroups of symmetric Markovian linear operators. Later on the chapter assumes that E is a Hausdorff topological space and considers the semigroups and Dirichlet forms generated by symmetric Markovian transition kernels on E. The chapter also considers quasi-regular Dirichlet forms and the quasi-homeomorphism of Dirichlet spaces. From here, the chapter shows that there is a nice Markov process called an m-tight special Borel standard process associated with every quasi-regular Dirichlet form.

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Conference papers on the topic "Topological Semigroup"

1

STEINBERG, BENJAMIN. "A SAMPLER OF A TOPOLOGICAL APPROACH TO INVERSE SEMIGROUPS." In Semigroups, Algorithms, Automata and Languages. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776884_0019.

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Muradov, Firudin Kh. "Ternary semigroups of topological transformations of open sets of finite-dimensional Euclidean spaces." In FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0042197.

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