ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 30 Mar 2015 23:22:53 +0200groups of units and finite quotient ringshttps://ask.sagemath.org/question/26388/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.
EslamMon, 30 Mar 2015 22:02:07 +0200https://ask.sagemath.org/question/26388/groups-of-units-and-finite-quotient-rings/Comment by tmonteil for <p>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 (<a href="mailto:eslam60145@yahoo.com">eslam60145@yahoo.com</a>)
Thank you in advance.
Best Regards.
Eslam</t,t-1></p>
https://ask.sagemath.org/question/26388/groups-of-units-and-finite-quotient-rings/?comment=26389#post-id-26389This 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.Mon, 30 Mar 2015 23:22:53 +0200https://ask.sagemath.org/question/26388/groups-of-units-and-finite-quotient-rings/?comment=26389#post-id-26389