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Generalised homomorphisms, measuring coalgebras and extended symmetries

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arxiv 2105.02527 v1 pith:RCXKRMMJ submitted 2021-05-06 math.RA

Generalised homomorphisms, measuring coalgebras and extended symmetries

Marjorie Batchelor , Will Boulton , Daren Chen , Jonathan Rawlinson , Mustafa Warsi This is my paper
classification math.RA
keywords 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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