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• CommentRowNumber1.
• CommentAuthorTodd_Trimble
• CommentTimeOct 7th 2011
• (edited Oct 7th 2011)

Some of this (condition 2 in the proposition in the section on algebras) was written as a preparatory step for a to-be-written nLab article on Day’s reflection theorem for symmetric monoidal closed categories, which came up in email with Harry and Ross Street.

• CommentRowNumber2.
• CommentAuthorMike Shulman
• CommentTimeOct 8th 2011

Thanks! I fixed a bit of formatting, and changed some appearances of $R L$ to $M$ which it seemed like they wanted to be.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJan 14th 2014
• (edited Jan 14th 2014)

I have made more explicit the statement that the Eilenberg-Moore category of an idempotent monad induced by a reflection reproduces the underlying reflective subcategory; at idempotent monad, at reflective subcategory and at Eilenberg-Moore category, pointing also to Borceux vol 2.

• CommentRowNumber4.
• CommentAuthorvarkor
• CommentTimeAug 20th 2021