Sums of kth Powers in the Ring of Polynomials With Integer Coefficients

Authors

Ted Chinburg, University of Pennsylvania
Melvin Henriksen, Harvey Mudd CollegeFollow

Document Type

Article

Department

Mathematics (HMC)

Publication Date

1-1-1975

Abstract

A working through of two theorems.

Suppose R is a ring with identity element and k is a positive integer. Let J(k, R) denote the subring of R generated by its kth powers. If Z denotes the ring of integers, then G(k, R) = {a ∈ Z: aR ⊂ J(k, R)} is an ideal of Z.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,280.

The article can also be found at http://www.ams.org/bull/1975-81-01/S0002-9904-1975-13657-3/home.html

Rights Information

© 1975 American Mathematical Society

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1090/S0002-9904-1975-13657-3

Recommended Citation

Chinburg, Ted, and Melvin Henriksen. "Sums of kth powers in the ring of polynomials with integer coefficients." Bulletin of the American Mathematical Society 81 (1975): 107–110. DOI: 10.1090/S0002-9904-1975-13657-3