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1. • CommentRowNumber1.
   • CommentAuthorPaoloPerrone
   • CommentTimeJan 14th 2020
   • PermaLink
   Author: PaoloPerrone
   Format: MarkdownItexFor now created page, and written definition. Work in progress! (No surgical cut-and-paste from other pages will be performed.) <a href="https://ncatlab.org/nlab/revision/commutative+monad/1">v1</a>, <a href="https://ncatlab.org/nlab/show/commutative+monad">current</a>

   For now created page, and written definition. Work in progress! (No surgical cut-and-paste from other pages will be performed.)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorPaoloPerrone
   • CommentTimeJan 14th 2020
   • PermaLink
   Author: PaoloPerrone
   Format: MarkdownItexadded idea <a href="https://ncatlab.org/nlab/revision/diff/commutative+monad/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/commutative+monad/2">v2</a>, <a href="https://ncatlab.org/nlab/show/commutative+monad">current</a>

   added idea

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorPaoloPerrone
   • CommentTimeJan 14th 2020
   • PermaLink
   Author: PaoloPerrone
   Format: MarkdownItexAdded examples <a href="https://ncatlab.org/nlab/revision/diff/commutative+monad/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/commutative+monad/2">v2</a>, <a href="https://ncatlab.org/nlab/show/commutative+monad">current</a>

   Added examples

   diff, v2, current

4. • CommentRowNumber4.
   • CommentAuthorTodd_Trimble
   • CommentTimeJan 14th 2020
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexIt's shaping up nicely; thanks!

   It’s shaping up nicely; thanks!

5. • CommentRowNumber5.
   • CommentAuthorPaoloPerrone
   • CommentTimeFeb 2nd 2020
   • PermaLink
   Author: PaoloPerrone
   Format: MarkdownItexAdded the case of closed (monoidal) categories <a href="https://ncatlab.org/nlab/revision/diff/commutative+monad/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/commutative+monad/6">v6</a>, <a href="https://ncatlab.org/nlab/show/commutative+monad">current</a>

   Added the case of closed (monoidal) categories

   diff, v6, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeNov 22nd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexhere and elsewhere, I am completing/correcting the bibdata for the references to Kock's original articles: * [[Anders Kock]], *Monads on symmetric monoidal closed categories*, Arch. Math. **21** (1970) 1-10 &lbrack;[doi:10.1007/BF01220868](https://doi.org/10.1007/BF01220868)&rbrack; * [[Anders Kock]], *Closed categories generated by commutative monads*, Journal of the Australian Mathematical Society **12** 4 (1971) 405-424 &lbrack;[doi:10.1017/S1446788700010272](https://doi.org/10.1017/S1446788700010272), [[KockMonoidalMonads.pdf:file]]&rbrack; * [[Anders Kock]], *Strong functors and monoidal monads*, Arch. Math **23** (1972) 113–120 &lbrack;[doi:10.1007/BF01304852](https://doi.org/10.1007/BF01304852), [pdf](http://home.imf.au.dk/kock/SFMM.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/commutative+monad/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/commutative+monad/9">v9</a>, <a href="https://ncatlab.org/nlab/show/commutative+monad">current</a>

   here and elsewhere, I am completing/correcting the bibdata for the references to Kock’s original articles:

   • Anders Kock, Monads on symmetric monoidal closed categories, Arch. Math. 21 (1970) 1-10 [doi:10.1007/BF01220868]

   • Anders Kock, Closed categories generated by commutative monads, Journal of the Australian Mathematical Society 12 4 (1971) 405-424 [doi:10.1017/S1446788700010272, KockMonoidalMonads.pdf:file]

   • Anders Kock, Strong functors and monoidal monads, Arch. Math 23 (1972) 113–120 [doi:10.1007/BF01304852, pdf]

   diff, v9, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeNov 22nd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexRe-organizing to bring more logic into the section outline (a "Properties"-section at top level, with subsections). Renaming the subsection "Equivalence with monoidal monads" to "Relation with monoidal monads" -- now [here](https://ncatlab.org/nlab/show/commutative+monad#RelationWithMonoidalMoands) Making it point to the actual theorem (which I just added [here](https://ncatlab.org/nlab/show/monoidal+monad#BijectSymmMonoidalMonadsWithCommStrongMonads)). Correcting the statement here (writing "closely related" inatead of "equivalent", since the actual equivalence needs more conditions than were and are stated here) <a href="https://ncatlab.org/nlab/revision/diff/commutative+monad/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/commutative+monad/9">v9</a>, <a href="https://ncatlab.org/nlab/show/commutative+monad">current</a>

   Re-organizing to bring more logic into the section outline (a “Properties”-section at top level, with subsections).

   Renaming the subsection “Equivalence with monoidal monads” to “Relation with monoidal monads” – now here

   Making it point to the actual theorem (which I just added here).

   Correcting the statement here (writing “closely related” inatead of “equivalent”, since the actual equivalence needs more conditions than were and are stated here)

   diff, v9, current