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Relevant bibliographies by topics / Semigroup compactification

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Academic literature on the topic 'Semigroup compactification'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Semigroup compactification"

1

Pandian, R. D. "Semigroup compactifications by generalized distal functions and a fixed point theorem." International Journal of Mathematics and Mathematical Sciences 14, no. 2 (1991): 253–60. http://dx.doi.org/10.1155/s0161171291000285.

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The notion of Semigroup compactification which is in a sense, a generalization of the classical Bohr (almost periodic) compactification of the usual additive realsR, has been studied by J. F. Berglund et. al. [2]. Their approach to the theory of semigroup compactification is based on the Gelfand-Naimark theory of commutativeC*algebras, where the spectra of admissibleC*-algebras, are the semigroup compactifications. H. D. Junghenn's extensive study of distal functions is from the point of view of semigroup compactifications [5]. In this paper, extending Junghenn's work, we generalize the noti

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2

Fattahi, Abdolmajid, Mohamad Ali Pourabdollah, and Abbas Sahleh. "Reductive compactifications of semitopological semigroups." International Journal of Mathematics and Mathematical Sciences 2003, no. 51 (2003): 3277–80. http://dx.doi.org/10.1155/s0161171203202052.

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We consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again. In this way, we introduce the notion ofE-algebra, and show that this notion is closely related to the reductivity of the semigroup compactification involved. Moreover, the structure of the universalEℱ-compactification is also given.

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3

Miri, M. R., and M. A. Pourabdollah. "Recapturing semigroup compactifications of a group from those of its closed normal subgroups." International Journal of Mathematics and Mathematical Sciences 23, no. 1 (2000): 37–43. http://dx.doi.org/10.1155/s016117120000171x.

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We know that ifSis a subsemigroup of a semitopological semigroupT, and𝔉stands for one of the spaces𝒜𝒫,𝒲𝒜𝒫,𝒮𝒜𝒫,𝒟orℒ𝒞, and(ϵ,T𝔉)denotes the canonical𝔉-compactification ofT, whereThas the property that𝔉(S)=𝔉(T)|s, then(ϵ|s,ϵ(S)¯)is an𝔉-compactification ofS. In this paper, we try to show the converse of this problem whenTis a locally compact group andSis a closed normal subgroup ofT. In this way we construct various semigroup compactifications ofTfrom the same type compactifications ofS.

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4

Filali, M. "The uniform compactification of a locally compact abelian group." Mathematical Proceedings of the Cambridge Philosophical Society 108, no. 3 (1990): 527–38. http://dx.doi.org/10.1017/s0305004100069413.

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In recent years, the Stone-Čech compactification of certain semigroups (e.g. discrete semigroups) has been an interesting semigroup compactification (i.e. a compact right semitopological semigroup which contains a dense continuous homomorphic image of the given semigroup) to study, because an Arens-type product can be introduced. If G is a non-compact and non-discrete locally compact abelian group, then it is not possible to introduce such a product into the Stone-Čech compactification βG of G (see [1]). However, let UC(G) be the Banach algebra of bounded uniformly continuous complex functions

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5

Aminpour, A. M. "Spaces of functions determined by iterated limits at infinity on an oid." Mathematical Proceedings of the Cambridge Philosophical Society 111, no. 1 (1992): 127–42. http://dx.doi.org/10.1017/s0305004100075216.

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In recent years many mathematicians have studied the semigroups S, the Stone-ech compactification of the discrete semigroup S, and more particularly ℕ, where ℕ is the usual semigroup of positive integers with addition (see the surveys by Hindman and Pym 6). An important role in this theory is played by sequences in S which have distinct finite sums, for these sequences are closely linked to idempotents in S (see the survey by Hindman 6). Pym 8 introduced the concept of an oid in order to show that the structure of ℕ in 5 could be obtained in a simple way for a large class of semigroups. Papazy

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6

Vishki, H. R. Ebrahimi, and M. A. Pourabdollah. "The universal semilattice compactification of a semigroup." International Journal of Mathematics and Mathematical Sciences 22, no. 1 (1999): 85–89. http://dx.doi.org/10.1155/s0161171299220856.

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The universal abelian, band, and semilattice compactifications of a semitopological semigroup are characterized in terms of three function algebras. Some relationships among these function algebras and some well-known ones, from the universal compactification point of view, are also discussed.

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7

Hindman, Neil, and Dona Strauss. "Cancellation in the Stone–Čech compactification of a discrete semigroup." Proceedings of the Edinburgh Mathematical Society 37, no. 3 (1994): 379–97. http://dx.doi.org/10.1017/s0013091500018861.

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We investigate both left and right cancellation in the Stone–Čech compactification βS of a discrete semigroup S, obtaining several results for arbitrary semigroups S and others for more restricted semigroups. In particular, if S is the semigroup of injective functions from a set to itself we determine precisely which pairs x, y and S have some p∈βS with px = py. We also obtain several new results about right cancellation in (βℕ, +).

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8

Kripalini, K. S. "Semigroup compactification of projective limits of topological semigroups." Topology and its Applications 64, no. 1 (1995): 1–8. http://dx.doi.org/10.1016/0166-8641(93)e0105-w.

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9

Kripalini, K. S. "Semigroup compactification of projective limits of topological semigroups." Topology and its Applications 58, no. 1 (1994): 17–24. http://dx.doi.org/10.1016/0166-8641(94)90070-1.

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10

Hindman, Neil, and Paul Milnes. "The $LMC$-compactification of a topologized semigroup." Czechoslovak Mathematical Journal 38, no. 1 (1988): 103–19. http://dx.doi.org/10.21136/cmj.1988.102205.

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Dissertations / Theses on the topic "Semigroup compactification"

1

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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2

Losert, Bernd. "Extensions of S-spaces." Doctoral diss., University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5807.

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Given a convergence space X, a continuous action of a convergence semigroup S on X and a compactification Y of X, under what conditions on X and the action on X is it possible to extend the action to a continuous action on Y. Similarly, given a Cauchy space X, a Cauchy continuous action of a Cauchy semigroup S on X and a completion Y of X, under what conditions on X and the action on X is it possible to extend the action to a Cauchy continuous action on Y. We answer the first question for some particular compactifications like the one-point compactification and the star compactification as

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3

Ferri, Stefano. "A study of some universal semigroup compactifications." Thesis, University of Hull, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395654.

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4

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

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5

Adams, Peter. "Algebraic topics in the Stone-Cech compactification of discrete semigroups." Thesis, University of Hull, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395633.

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6

Souza, Josiney Alves de. "Ações de semigrupos : recorrencia por cadeias em fibrados e compactificações de Ellis." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305813.

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Orientador: Luiz Antonio Barrera San Martin<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-11T09:58:09Z (GMT). No. of bitstreams: 1 Souza_JosineyAlvesde_D.pdf: 1777083 bytes, checksum: 43943f3a9ea228d0eb5fbe6c6906cd93 (MD5) Previous issue date: 2008<br>Resumo: Um semigrupo de transformação consiste de um semigrupo de aplicações contínuas definidas num espaço topológico. A hipótese sobre o semigrupo é a propriedade de reversibilidade, isto é, que a coleção das translações do semigrup

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7

Elgun, Elcim. "The Eberlein Compactification of Locally Compact Groups." Thesis, 2013. http://hdl.handle.net/10012/7260.

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A compact semigroup is, roughly, a semigroup compactification of a locally compact group if it contains a dense homomorphic image of the group. The theory of semigroup compactifications has been developed in connection with subalgebras of continuous bounded functions on locally compact groups. The Eberlein algebra of a locally compact group is defined to be the uniform closure of its Fourier-Stieltjes algebra. In this thesis, we study the semigroup compactification associated with the Eberlein algebra. It is called the Eberlein compactification and it can be constructed as the spectrum of the

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Books on the topic "Semigroup compactification"

1

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

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2

To-Ming, Lau Anthony, and Strauss Dona 1934-, eds. Banach algebras on semigroups and on their compactifications. American Mathematical Society, 2010.

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3

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

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4

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

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5

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

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Book chapters on the topic "Semigroup compactification"

1

"Chapter 21. Other Semigroup Compactifications." In Algebra in the Stone-Cech Compactification. DE GRUYTER, 2011. http://dx.doi.org/10.1515/9783110258356.523.

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2

"Chapter 4. ßS – The Stone–Čech Compactification of a Discrete Semigroup." In Algebra in the Stone-Cech Compactification. DE GRUYTER, 2011. http://dx.doi.org/10.1515/9783110258356.85.

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3

"Chapter 1. Semigroups and Their Ideals." In Algebra in the Stone-Cech Compactification. DE GRUYTER, 2011. http://dx.doi.org/10.1515/9783110258356.3.

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4

"Chapter 2. Right Topological (and Semitopological and Topological) Semigroups." In Algebra in the Stone-Cech Compactification. DE GRUYTER, 2011. http://dx.doi.org/10.1515/9783110258356.38.

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