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nLab > Latest Changes: coherent ring

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1 to 5 of 5

  1.  
    • CommentRowNumber1.
    • CommentAuthorJohn Baez
    • CommentTimeOct 1st 2021

    Added more lowbrow, quicker-to-understand definition of “coherent ring”.

    diff, v3, current

    • CommentRowNumber2.
    • CommentAuthorJohn Baez
    • CommentTimeOct 1st 2021

    Added remarks about coherence versus noetherianness.

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 1st 2021

    added some basic infrastructure (e.g. sections and hyperlinks)

    diff, v4, current

  4. Adding reference

    Anonymouse

    diff, v5, current

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeMay 21st 2025
    • (edited May 21st 2025)

    A more canonical way of the definition:

    A ring is left coherent if the category of finitely generated left modules is abelian.

    diff, v6, current

    Correction: finitely PRESENTED, of course (I cut and paste from previous version the markup).

1 to 5 of 5

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