MHB F[x]: Congruence Solutions | Math Q&A

Joe20 · Mar 31, 2018

Hi all, I have completed this question as attached. Hope someone could help to check if my solutions are correct. However, I am not sure what theorem is used for part (d). May need some advice. Thanks.

Euge · Apr 1, 2018

All your solutions look correct. (Yes)

Just a minor comment, but you might want to put the equivalence class brackets around the terms belonging to $R$.

MHB F[x]: Congruence Solutions | Math Q&A

Attachments

Thread 'About the existence of Hamel basis for vector spaces'

Similar threads

Hot Threads

I How to show ##p(x)=g(x)x\pm 1\in\Bbb{Q}[x]## is irreducible in ##\Bbb{Q}_{\Bbb{Z}}[x]##?

I Showing ##k[x_1,\ldots,x_n]/\mathfrak{a}## is finite dimensional

A Near-Rings with Noncommutative Addition and Two-Sided Distributivity

I How do we distinguish two different notations for cokernel and coimage?

I Localising a non integral domain at a prime

Recent Insights

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Insights What Exactly is Dirac’s Delta Function? - Insight

Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight

Insights Fixing Things Which Can Go Wrong With Complex Numbers

Insights Fermat's Last Theorem