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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'unit'
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R commutative? by mclase
Correction id: 1205
Filed on: 2002-11-05 18:25:21
Status: Accepted on 2002-11-05 22:15:49
Type: Erratum
Correction text:
Although you've given a general ring theory MSC, this definition isn't correct for non-commutative rings.
In general, xy = 1 does not imply yx = 1. (e.g. End_K(V) for an infinite dimensional K-vector space V.)
And I think it is not usual to use terms like "divides" in non-commutative ring theory. |
Comment from object owner drini:
I never noticed it would fail on noncommutative rings.
If you would like to write about the distinct definitions in order to get a better entry , just drop me a note and I'll add you to the editors group for this entry
Meanwhile, I'm just changing the msc code ;) |
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