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nLab > Latest Changes: approximate integral domain

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  1. creating article for a weaker notion of “integral domain” where the zero divisors only form an ideal instead of being equal to zero, in the same way that a local ring is where the non-invertible elements only form an ideal instead of being equal to zero.

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorGuest
    • CommentTimeDec 7th 2022

    I don’t know if this concept already has a proper name in the commutative ring theory literature.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 8th 2022
    • (edited Dec 8th 2022)

    I have taken the liberty of making mild cosmetic adjustment to the wording in the first sentence.

    Also I have hyperlinked the term zero divisor, throughout.

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeAug 7th 2023
    • (edited Aug 7th 2023)

    Replaced reference to “the” author of the nLab article by a more, how should I say, egalitarian formulation. (Sprinkled throughout the nLab are various phrases like “the author” or “I don’t know whether” or “I will come back to this later”, which I think generally should be discouraged, even though I have been guilty of doing this as well.)

    Also clarified which ring of fractions (in the theorem before the examples section).

    diff, v7, current

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