Abstract Algebra: Theory and Applications · Problem 18.4.8

Lattices and Boolean Algebras — Thomas Judson

Mathematics — Abstract Algebra · field-of-fractions-characteristic-p

Problem

Let pp be prime and denote the field of fractions of Zp[x]\mathbb{Z}_p[x] by Zp(x)\mathbb{Z}_p(x). Prove that Zp(x)\mathbb{Z}_p(x) is an infinite field of characteristic pp.

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