Wiesław Żelazko, topological algebras, Banach algebras
Krzysztof Jarosz (2005)
Banach Center Publications
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Krzysztof Jarosz (2005)
Banach Center Publications
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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.
Zygmunt Saloni (1974)
Colloquium Mathematicae
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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...
Jean-Pierre Antoine, Camillo Trapani, Francesco Tschinke (2011)
Studia Mathematica
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We continue our study of topological partial *-algebras, focusing on the interplay between various partial multiplications. The special case of partial *-algebras of operators is examined first, in particular the link between strong and weak multiplications, on one hand, and invariant positive sesquilinear (ips) forms, on the other. Then the analysis is extended to abstract topological partial *-algebras, emphasizing the crucial role played by appropriate bounded elements, called ℳ-bounded....
Mati Abel, Krzysztof Jarosz (2005)
Banach Center Publications
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We characterize unital topological algebras in which all maximal two-sided ideals are closed.
Daniel W. Stroock (1976)
Colloquium Mathematicae
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T. P. Speed (1971)
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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Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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R. Beazer (1974)
Colloquium Mathematicae
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Christoph Bandt (1979)
Colloquium Mathematicae
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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.
Tarek Sayed Ahmed (2002)
Fundamenta Mathematicae
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SC, CA, QA and QEA stand for the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasipolyadic algebras and Halmos' quasipolyadic algebras with equality, respectively. Generalizing a result of Andréka and Németi on cylindric algebras, we show that for K ∈ SC,QA,CA,QEA and any β > 2 the class of 2-dimensional neat reducts of β-dimensional algebras in K is not closed under forming elementary subalgebras, hence is not elementary. Whether this result extends...