Generalised homomorphisms, measuring coalgebras and extended symmetries
Rings and Algebras
2021-05-07 v1
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.
Keywords
Cite
@article{arxiv.2105.02527,
title = {Generalised homomorphisms, measuring coalgebras and extended symmetries},
author = {Marjorie Batchelor and Will Boulton and Daren Chen and Jonathan Rawlinson and Mustafa Warsi},
journal= {arXiv preprint arXiv:2105.02527},
year = {2021}
}