Abstract Algebra: Theory and Applications · Problem 21.5.24

Finite Fields — Thomas Judson

Mathematics — Abstract Algebra · ring-with-polynomial-root

Problem

Prove or disprove: Given a polynomial p(x)p(x) in Z6[x]\mathbb{Z}_6[x], it is possible to construct a ring RR such that p(x)p(x) has a root in RR.

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