Article ID Journal Published Year Pages File Type
4660125 Topology and its Applications 2011 4 Pages PDF
Abstract

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(n2,R) of R generated by n2-th powers can be written in the form for some f1,…,fv∈R and some choice of signs.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology