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nLab > Latest Changes: tensor product of abelian groups

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 31st 2012
    • (edited Aug 31st 2012)

    have split off tensor product of abelian groups from tensor product and expanded slightly

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 5th 2012

    added to tensor product of abelian groups the examples A⊗ℤ≃AA \otimes \mathbb{Z} \simeq A and ℤ a⊗ℤ b≃ℤ LCM(a,b)\mathbb{Z}_a \otimes \mathbb{Z}_b \simeq \mathbb{Z}_{LCM(a,b)}.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 5th 2012

    In the Definition-section I have made the quotient map A×B→A⊗BA \times B \to A \otimes B more explicit.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 3rd 2018
    • (edited Dec 3rd 2018)

    made notationally more explicit the forgetful functor U:Ab→SetU \colon Ab \to Set involved in declaring the universal bilinear map (here)

    diff, v9, current

  5. Removed the link as it returned 404 not found.

    Anonymous

    diff, v10, current

    • CommentRowNumber6.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 18th 2019

    Removed reference to vanished online pdf (now without link, as removed by previous editor) and replaced it by something written by Tim Gowers.

    diff, v11, current

    • CommentRowNumber7.
    • CommentAuthorYuxi Liu
    • CommentTimeJul 4th 2020

    Ab is in fact a symmetric monoidal category.

    diff, v13, current

    • CommentRowNumber8.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJul 4th 2020

    Added Whitney’s original paper.

    diff, v14, current

  9. added definition of the tensor product of abelian groups as a quotient inductive type

    Anonymous

    diff, v18, current

  10. The Keith Conrad pdf link

    http://www.math.uconn.edu/~kconrad/blurbs/linmultialg/tensorprod.pdf

    currently redirects to the homepage of Keith Conrad’s website

    https://kconrad.math.uconn.edu/

    Jack Owens

    diff, v20, current

1 to 11 of 11

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