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• 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 $1 \in R$ 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.

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

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