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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A perfect pairing for monoidal adjunctions
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by Takeshi Torii
Proc. Amer. Math. Soc. 151 (2023), 5069-5080
DOI: https://doi.org/10.1090/proc/16460
Published electronically: September 21, 2023

Abstract:

We give another proof of the fact that there is a dual equivalence between the $\infty$-category of monoidal $\infty$-categories with left adjoint oplax monoidal functors and that with right adjoint lax monoidal functors by constructing a perfect pairing between them.
References
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Bibliographic Information
  • Takeshi Torii
  • Affiliation: Department of Mathematics, Okayama University, Okayama 700–8530, Japan
  • MR Author ID: 644314
  • ORCID: 0000-0003-3786-6329
  • Email: torii@math.okayama-u.ac.jp
  • Received by editor(s): February 23, 2022
  • Received by editor(s) in revised form: September 4, 2022, November 27, 2022, February 7, 2023, March 5, 2023, and March 6, 2023
  • Published electronically: September 21, 2023
  • Additional Notes: The author was partially supported by JSPS KAKENHI Grant Numbers JP17K05253.
  • Communicated by: Julie Bergner
  • © Copyright 2023 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 151 (2023), 5069-5080
  • MSC (2020): Primary 18N70; Secondary 18N60, 55U40
  • DOI: https://doi.org/10.1090/proc/16460
  • MathSciNet review: 4648909