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2021-08-08 08:30:02 +0200 received badge  Popular Question (source)
2015-03-30 22:02:07 +0200 asked a question groups of units and finite quotient rings

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