Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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 AAA \otimes \mathbb{Z} \simeq A and a b 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×BABA \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:AbSetU \colon Ab \to Set involved in declaring the universal bilinear map (here)

    diff, v9, current

  1. 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

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

    Anonymous

    diff, v18, current

  3. 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