Answer by Temoi for Prove that a field/commutative ring is IBN (invariant...
As for a field, just note that modules over a field are vector spaces so this is a standard theorem in Linear Algebra.For general commutative rings see for example exercise 11, chapter 2 in...
View ArticleProve that a field/commutative ring is IBN (invariant basis number).
I am searching all over and it keeps coming up how trivial it is, but I don't actually see the proof of a field being IBN. I would also like to know where a proof of a nonzero commutative ring is IBN...
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