Abstract Algebra: Theory and Applications · Problem 22.4.8

Galois Theory — Thomas Judson

Mathematics — Abstract Algebra · finite-fields-isomorphism

Problem

Prove or disprove: Z2[x]/⟨x3+x+1⟩≅Z2[x]/⟨x3+x2+1⟩\mathbb{Z}_2[x]/\langle x^3 + x + 1 \rangle \cong \mathbb{Z}_2[x]/\langle x^3 + x^2 + 1 \rangle. Hint. True.

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