Displaying similar documents to “Effect algebra counterexamples”

Some remarks on Koszul algebras and quantum groups

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.

Invertibility in tensor products of Q-algebras

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.