Linear independence of powers
Commutative Algebra
2019-07-08 v1
Abstract
Given r elements in an integral domain over an algebraically closed field such that any two are linearly independent, we show that there is an integer e between 1 and r! such the eth powers of these elements are linearly independent.
Cite
@article{arxiv.1907.02659,
title = {Linear independence of powers},
author = {Steven V Sam and Andrew Snowden},
journal= {arXiv preprint arXiv:1907.02659},
year = {2019}
}
Comments
2 pages