Generalised homomorphisms, measuring coalgebras and extended symmetries
classification
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categorieshomomorphismsmeasuringthreealgebraalgebrascalculatedcases
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Three categories of algebras with morphisms generalising the usual set of algebra homomorphisms are described. The Sweedler product provides a hom-tensor equivalence relating these three categories, and a tool enabling the universal measuring coalgebra to be calculated in small cases. A parallel theory for modules is presented.
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