Note on monoidal monads

Author:

Day B. J.

Abstract

AbstractThe representation theory of categories is used to embed each promonoidal monad in a monoidal biclosed monad. The existence of a promonoidal structure on the ordinary Eilenberg- Moore category generated by a promonoidal monad is examined. Several results by previous authors (notably A. Kock and F. E. J. Linton) are reproved and extended.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Optics for Premonoidal Categories;Electronic Proceedings in Theoretical Computer Science;2023-12-14

2. Eilenberg-Kelly Reloaded;Electronic Notes in Theoretical Computer Science;2020-10

3. Wreaths, mixed wreaths and twisted coactions;Tbilisi Mathematical Journal;2017-06-01

4. Affine parts of monads;Archiv der Mathematik;1979-12

5. Promonoidal functor categories;Journal of the Australian Mathematical Society;1977-05

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