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nLab > Latest Changes: unit

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 25th 2018

    The entry used to start out with the line “not to be confused with neutral element”. This was rather suboptimal. I have removed that sentence and instead expanded the Idea-section to read now as follows:

    Considering a ring R, then by the unit element one usually means the neutral element 1∈R with respect to multiplication. This is the sense of “unit” in terms such as nonunital ring.

    But more generally a unit element in a unital (!) ring is any element that has an inverse element under multiplication.

    This concept generalizes beyond rings, and this is what is discussed in the following.

    diff, v12, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 20th 2021
    • (edited Sep 20th 2021)

    I have hyperlinked unit of measurement (here) and made that redirect to physical unit.

    diff, v15, current

  3. Given a response to the query for the non-commutative case

    Giovanni Giacalone

    diff, v20, current

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeSep 24th 2024

    Added

    All units in a unital ring form a group, the group of units.

    diff, v22, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 25th 2024

    added cross-link with group of units

    diff, v23, current

1 to 5 of 5

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