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nLab > Latest Changes: atomic Boolean algebra

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  1.  
    • CommentRowNumber1.
    • CommentAuthorJ-B Vienney
    • CommentTimeDec 29th 2023

    Added equivalent ways to write the definition.

    diff, v6, current

    • CommentRowNumber2.
    • CommentAuthorJ-B Vienney
    • CommentTimeDec 29th 2023

    By the way, I think that these definitions only make sense if the Boolean algebra is complete. There are probably Boolean algebras which are atomic, given a suitable definition of this word, and such that the involved joins don’t exist.

    • CommentRowNumber3.
    • CommentAuthorJ-B Vienney
    • CommentTimeDec 29th 2023
    • (edited Dec 29th 2023)

    Added a definition in the general case.

    Edit: sorry all that was a misunderstanding of me. The original definition is correct.

    diff, v7, current

1 to 3 of 3

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