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nLab > Latest Changes: Request for references at commutative algebraic theory

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    • CommentRowNumber1.
    • CommentAuthorAndrew Stacey
    • CommentTimeNov 18th 2009

    The stuff at commutative algebraic theory is very interesting and I'd like to know some references! *looks at Todd, Toby, and Gavin*

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 18th 2009
    Commutative monads are also called monoidal monads. I'm going to add some references in just a tick...
    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeNov 18th 2009
    • (edited Nov 18th 2009)
    Nikolai Durov rediscovered the old notion for geometric applications and calls them commutative algebraic monads, what would be the same as commutative finitary monads. His thesis has much material on them including the construction of spectra of such monads. I have heard in conversations word commutative monad from Mamuka Jibladze. When I shown him Durov's thesis he said that he discussed the notion many times with Pirashvili but it never occurred to them that this notion is suitable for developing a generalized framework for algebraic geometry. I think that in modern times word monoidal monad is used for some different notion as well. I just created a stub generalized scheme after Durov.
    • CommentRowNumber4.
    • CommentAuthorAndrew Stacey
    • CommentTimeNov 18th 2009

    Thanks Zoran! That's useful.

    I know that there is older stuff because I've come across some myself (the name Freyd spings to mind) and I'll add those when I've remembered what they are. But what I've seen has tended to be very disconnected and I don't want to "invent" them again if I can help it so thanks for the references so far.

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