Small deformations of topological algebras
Mati Abel, Krzysztof Jarosz (2003)
Studia Mathematica
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We investigate stability of various classes of topological algebras and individual algebras under small deformations of multiplication.
Mati Abel, Krzysztof Jarosz (2003)
Studia Mathematica
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We investigate stability of various classes of topological algebras and individual algebras under small deformations of multiplication.
Donald Z. Spicer (1973)
Colloquium Mathematicae
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Takeshi Katsura, Paul S. Muhly, Aidan Sims, Mark Tomforde (2008)
Studia Mathematica
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Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.
Aldo V. Figallo, Inés Pascual, Gustavo Pelaitay (2020)
Bulletin of the Section of Logic
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In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue the study of tense LMn×m-algebras. More precisely, we determine a Priestley-style duality for these algebras. This duality enables us not only to describe the tense LMn×m-congruences on a tense LMn×m-algebra, but also to characterize the simple and subdirectly irreducible...
Daniel W. Stroock (1976)
Colloquium Mathematicae
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Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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G. Grätzer, J. Sichler (1974)
Colloquium Mathematicae
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Marcus Tressl (2002)
Banach Center Publications
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Kazimierz Urbanik (1969)
Colloquium Mathematicum
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Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Christoph Bandt (1979)
Colloquium Mathematicae
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T. P. Speed (1971)
Colloquium Mathematicae
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Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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Zygmunt Saloni (1974)
Colloquium Mathematicae
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R. Beazer (1974)
Colloquium Mathematicae
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Matthew Daws (2007)
Studia Mathematica
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We study representations of Banach algebras on reflexive Banach spaces. Algebras which admit such representations which are bounded below seem to be a good generalisation of Arens regular Banach algebras; this class includes dual Banach algebras as defined by Runde, but also all group algebras, and all discrete (weakly cancellative) semigroup algebras. Such algebras also behave in a similar way to C*- and W*-algebras; we show that interpolation space techniques can be used in place of...
Camillo Trapani (2005)
Banach Center Publications
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The main facts about unbounded C*-seminorms on partial *-algebras are reviewed and the link with the representation theory is discussed. In particular, starting from the more familiar case of *-algebras, we examine C*-seminorms that are defined from suitable families of positive linear or sesquilinear forms, mimicking the construction of the Gelfand seminorm for Banach *-algebras. The admissibility of these forms in terms of the (unbounded) C*-seminorms they generate is characterized. ...
Noriaki Kamiya, Daniel Mondoc, Susumu Okubo (2011)
Banach Center Publications
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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.