Tensor products of sequential effect algebras
Stanley P. Gudder (2004)
Mathematica Slovaca
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Stanley P. Gudder (2004)
Mathematica Slovaca
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Gião, António (1949)
Portugaliae mathematica
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J. Blank, P. Exner (1977)
Acta Universitatis Carolinae. Mathematica et Physica
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Yu. I. Manin (1987)
Annales de l'institut Fourier
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The category of quadratic algebras is endowed with a tensor structure. This allows us to construct a class of Hopf algebras studied recently under the name of quantum (semi) groups.
Kubrusly, C.S., Levan, N. (2011)
Acta Mathematica Universitatis Comenianae. New Series
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Seán Dineen, Pablo Sevilla-Peris (2002)
Studia Mathematica
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We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.