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nLab > Latest Changes: Jacobson radical

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  1. “for each nonzero element rr in a semiprimitive ring,…module left annihilated by rr.” to “…module not left annihilated by rr.”

    Anonymous

    diff, v7, current

  2. “for each nonzero element rr in a semiprimitive ring,…module left annihilated by rr.” to “…module not left annihilated by rr.”

    Anonymous

    diff, v7, current

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeAug 22nd 2022

  4. added example that the Jacobson radical of a local Artinian algebra is the set of non-invertible elements

    Anonymous

    diff, v11, current

  5. nilpotent ideals are different from nilradicals

    Anonymous

    diff, v11, current

  6. added property that the Jacobson radical of a local ring is the set of non-invertible elements

    Anonymous

    diff, v11, current

  7. added example of the Jacobson radical of a possibly trivial local ring, and added reference

    Anonymous

    diff, v11, current

    • CommentRowNumber8.
    • CommentAuthorzskoda
    • CommentTimeJul 5th 2024
    • (edited Jul 5th 2024)

    What is the reasoning that scale is listed (from version 8) under related notions ? It is true that the page scale lists, among the rest of the material, the definition of the Jacobson radical of a scale, but that is where the relatedness ends, to my present understanding.

  9. changed higher algebra - contents to algebra - contents in context sidebar

    Anonymouse

    diff, v15, current

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