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Enrichment of Categories of Algebras and Modules

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arxiv 1205.6450 v1 pith:ZUVPBDWF submitted 2012-05-29 math.CT math.RA

Christina Vasilakopoulou This is my paper · ORCID
classification math.CTmath.RA
keywords enrichmentuniversalalgebrascategorycoalgebrascomodulesglobalmeasuring
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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.

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  1. Hochschild theory of multiplicative sequences of algebras and coalgebra measurings

    math.RA 2026-07 conditional novelty 6.0 of 10

    A new Hochschild theory is defined for multiplicative sequences of algebras, and coalgebra measurings between such sequences induce compatible maps on it.

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