I am not an expert in using the program and I will be grateful if you help me in 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 <T,T-1> in U(R)
Thank you in advance.
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