Remarks on algebras having two bases of different cardinalities
J. Dudek (1971)
Colloquium Mathematicae
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J. Dudek (1971)
Colloquium Mathematicae
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Krzysztof Jarosz (2005)
Banach Center Publications
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Doty, Stephen, Giaquinto, Anthony (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Tvalavadze, Marina (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17D15. Secondary 17D05, 17B35, 17A99. This is a survey paper to summarize the latest results on the universal enveloping algebras of Malcev algebras, triple systems and Leibniz n-ary algebras.
Damon M. Hay (2011)
Studia Mathematica
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We generalize some technical results of Glicksberg to the realm of general operator algebras and use them to give a characterization of open and closed projections in terms of certain multiplier algebras. This generalizes a theorem of J. Wells characterizing an important class of ideals in uniform algebras. The difficult implication in our main theorem is that if a projection is open in an operator algebra, then the multiplier algebra of the associated hereditary subalgebra arises as...
Darafsheh, M.R., Rahnamai Barghi, A. (2000)
Beiträge zur Algebra und Geometrie
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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.
J. Dudek (1979)
Colloquium Mathematicae
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Mazorchuk, Volodymyr (1999)
Beiträge zur Algebra und Geometrie
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James Stewart, Saleem Watson (1985)
Mathematische Annalen
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Bohdan J. Tomiuk (1979)
Manuscripta mathematica
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Z. Sawoń, Z. Wroński (1984)
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.
Zygmunt Saloni (1974)
Colloquium Mathematicae
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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.
Vincent Valmorin (2010)
Banach Center Publications
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A new approach to the generalization of Schwartz’s kernel theorem to Colombeau algebras of generalized functions is given. It is based on linear maps from algebras of classical functions to algebras of generalized ones. In particular, this approach enables one to give a meaning to certain hypotheses in preceding similar work on this theorem. Results based on the properties of -generalized functions class are given. A straightforward relationship between the classical and the generalized...
R. Beazer (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...
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.
T. P. Speed (1971)
Colloquium Mathematicae
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Iván Ezequiel Angiono (2015)
Journal of the European Mathematical Society
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We obtain a presentation by generators and relations of any Nichols algebra of diagonal type with finite root system. We prove that the defining ideal is finitely generated. The proof is based on Kharchenko’s theory of PBW bases of Lyndon words. We prove that the lexicographic order on Lyndon words is convex for PBW generators and so the PBW basis is orthogonal with respect to the canonical non-degenerate form associated to the Nichols algebra.
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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