# Endomorphism Bialgebras of Diagrams and of Non-Commutative Algebras and Spaces

@article{Pareigis1994EndomorphismBO, title={Endomorphism Bialgebras of Diagrams and of Non-Commutative Algebras and Spaces}, author={Bodo Pareigis}, journal={Pure and Applied Mathematics}, year={1994} }

Bialgebras and Hopf algebras have a v ery complicated structure. It is not easy to construct explicit examples of such a n d c heck all the necessary properties. This gets even more complicated if we h a ve t o v erify that something like a comodule algebra over a bialgebra is given. Bialgebras and comodule algebras, however, arise in a very natural way in non-commu-tative geometry and in representation theory. W e w ant to study some general principles on how to construct such bialgebras and…

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