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nLab > Latest Changes: Wedderburn-Artin theorem

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

    Added statement of theorem and proof of a lemma.

    diff, v3, current

    • CommentRowNumber2.
    • CommentAuthorJohn Baez
    • CommentTimeJun 12th 2023

    I sketched out a modern proof of the Wedderburn–Artin theorem. I changed the title of this article to “Wedderburn–Artin theorem” since this is what everyone says, the idea being that Wedderburn came first and Artin put on some final touches considerabl later. See the discussion of this point on the Wikipedia talk page regarding this issue.

    diff, v4, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 12th 2023

    I have touched the formatting and added more hyperlinks.

    also touched the wording in the idea-section

    diff, v5, current

    • CommentRowNumber4.
    • CommentAuthorJohn Baez
    • CommentTimeJun 12th 2023

    Added a version of Wedderburn-Artin for simple rings and algebras.

    diff, v6, current

    • CommentRowNumber5.
    • CommentAuthorJohn Baez
    • CommentTimeSep 6th 2023

    Tried to fix finiteness issue near the start of the proof of Wedderburn-Artin. Why does a semisimple ring RR have to be a finite sum of simple RR-modules? Certainly not every RR-module is such a finite direct sum. I tried to answer this objection.

    diff, v9, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2024

    added pointer to the original articles:

    diff, v10, current

1 to 6 of 6

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