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 <t,t-1> in U(R) You can e-mail me back (eslam60145@yahoo.com) Thank you in advance. Best Regards. Eslam
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groups of units and finite quotient rings
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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 <t,t-1> in U(R) You can e-mail me back (eslam60145@yahoo.com) Thank you in advance. Best Regards. Eslam
