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    • CommentRowNumber1.
    • CommentAuthoratmacen
    • CommentTimeJan 21st 2019

    The example of QQ as a Bishop set on the preset Z×ZZ \times Z is wrong. You need to rule out zero denominators. The definition currently on the page is not a Bishop set at all, because 0/00/0 makes the relation intransitive.

    I’m not sure how it should be changed to illustrate the point that the same preset can get distinct sets. Maybe a different example entirely?

    diff, v17, current

    • CommentRowNumber2.
    • CommentAuthoratmacen
    • CommentTimeJan 21st 2019

    Oh wait. False alarm. That text is using ZZ for positive integers only.

    • CommentRowNumber3.
    • CommentAuthorAli Caglayan
    • CommentTimeJan 21st 2019

    That’s a weird convention, probably best to change it no?

    • CommentRowNumber4.
    • CommentAuthoratmacen
    • CommentTimeJan 21st 2019

    Changed the notation in the example that confused me: added “+” superscripts to the (pre)set symbols.

    diff, v18, current