Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Morita contexts of enriched categories


Authors: J. Fisher-Palmquist and P. H. Palmquist
Journal: Proc. Amer. Math. Soc. 50 (1975), 55-60
MSC: Primary 18D20
MathSciNet review: 0419559
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Categories enriched over a closed category $ {\mathbf{V}}$ are considered. The theorems and proofs are nonadditive while specializing when $ {\mathbf{V}}$ is the category of abelian groups to yield different interpretations and proofs of old results. $ {\mathbf{V}}$-adjoint equivalences of certain $ {\mathbf{V}}$-functor categories are shown to correspond to generalized Morita equivalences between small $ {\mathbf{V}}$-categories. Morita contexts are given a simple description as certain cospans and are shown to support a $ 2$-dimensional structure.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 18D20

Retrieve articles in all journals with MSC: 18D20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0419559-9
PII: S 0002-9939(1975)0419559-9
Keywords: Closed category, enriched category, functor category, adjoint equivalence, Kan extension, cospan, dense, bicategory, $ 2$-dimensional category, Morita context, Morita equivalence, atom
Article copyright: © Copyright 1975 American Mathematical Society