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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Morita contexts of enriched categories
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by J. Fisher-Palmquist and P. H. Palmquist PDF
Proc. Amer. Math. Soc. 50 (1975), 55-60 Request permission

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.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 50 (1975), 55-60
  • MSC: Primary 18D20
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0419559-9
  • MathSciNet review: 0419559