Title

Sums of k-th powers in the Ring of Polynomials with Integer Coefficients

Student Co-author

HMC Undergraduate

Document Type

Article

Department

Mathematics (HMC)

Publication Date

1976

Abstract

Suppose R is a ring with identity element 1 and k is a positive integer. Let H (k, R) denote the set of kth powers of elements of R, and let J(k, R) denote the additive subgroup of R generated by H(k, R). If Z denotes the ring of integers, then

G(k, R) = {a∊Z: aR ⊆ J(k, R)}

is an ideal of Z.

Rights Information

© 1976 Institutum Mathematicum • Academia Scientiarum Polona