Generalised homomorphisms, measuring coalgebras and extended symmetries

2021/05/06 by Batchelor, Marjorie, Boulton, Will, Chen, Daren +2
#13B05 #18A40 (Primary) 16E99 #70S10 (Secondary) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2105.02527

Abstract

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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