Mathematics – Number Theory
Scientific paper
2010-07-14
Mathematics
Number Theory
Scientific paper
Suppose n >= 2. We show that there is no integer v >= 1 such that for all
commutative rings R with identity, every element of the subring J(2^n,R) of R
generated by 2^n-th powers can be written in the form \pm f_1^{2^n} \pm \cdots
\pm f_v^{2^n} for some f_1,...,f_v \in R and some choice of signs.
Chinburg Ted
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