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nLab > Latest Changes: coextension of scalars

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  1.  
    • CommentRowNumber1.
    • CommentAuthorJohn Baez
    • CommentTimeMay 12th 2023

    Gave concrete formula for coextension of scalars and a case where extension and coextension agree.

    diff, v5, current

  2. Small correction to the left action on f*(M). If S is not commutative then the multiplcation needs to be on the right. otherwise you get a right action instead of a left action

    Justin Desrochers

    diff, v9, current

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeJun 19th 2024
    • (edited Jun 19th 2024)

    At least (algebraic) geometers denote inverse image functor/extension of scalars by f*, direct image functor/restriction of scalars by f* and its right adjoint by f!. Because one wants to think of f being in a geometric direction, that is opposite to the morphism of rings. Geometrically minded algebraists (and sheaf theorists) follow this convention as well.

  4. Replace dead link ” http://www.math.uiuc.edu/K-theory/0573/FormalFeb16.pdf ” with working link ” https://www.math.uchicago.edu/~may/PAPERS/FormalFinalMarch.pdf “

    Elia Immanuel Auer

    diff, v11, current

1 to 4 of 4

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