groups of units and finite quotient rings

asked 2015-03-30 15:02:07 -0500

Eslam gravatar image

updated 2015-03-30 15:16:25 -0500

Dear Sage, I am not an expert in using the program and I will be grateful if you help me to do the following. (1) Define the quotient ring R=F_q[u]/(u^2+2) (2) List the elements of this ring (3) Define the polynomial ring R[T] (4) Compute the group of units U(R) of this ring and its cardinality (2) Factorize T^3+(u+2) in R[T] (4) Compute the span in U(R) You can e-mail me back (eslam60145@yahoo.com) Thank you in advance. Best Regards. Eslam

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Comments

This looks like homework. If you want some help, you should ask more precise questions related to your research in solving those exercises, especially where you are locked.

tmonteil gravatar imagetmonteil ( 2015-03-30 16:22:53 -0500 )edit