Enrichment of Categories of Algebras and Modules
Category Theory
2012-05-30 v1 Rings and Algebras
Abstract
We study the universal measuring coalgebras P(A,B) of Sweedler and the universal measuring comodules Q(M,N) of Batchelor. We show that these universal objects exist in a very general context. We provide a detailed proof of an observation of Wraith, that the P(A,B) are the hom-objects of an enrichment of algebras in coalgebras. We show also that the Q(M,N) provide an enrichment of the global category of modules in the global category of comodules.
Keywords
Cite
@article{arxiv.1205.6450,
title = {Enrichment of Categories of Algebras and Modules},
author = {Christina Vasilakopoulou},
journal= {arXiv preprint arXiv:1205.6450},
year = {2012}
}
Comments
21 pages