Note on monoidal monads

B. J. Day

doi:10.1017/S1446788700018929

Note on monoidal monads

B. J. Day^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The 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.

Original language	English
Pages (from-to)	292-311
Number of pages	20
Journal	Journal of the Australian Mathematical Society
Volume	23
Issue number	3
DOIs	https://doi.org/10.1017/S1446788700018929
Publication status	Published - 1977

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title = "Note on monoidal monads",

abstract = "The 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.",

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AB - The 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.

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DO - 10.1017/S1446788700018929

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ER -

Note on monoidal monads

Abstract

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