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.Fri, 12 Jul 2013 10:50:17 +0200Compute radical and idempotents of a quotient algebrahttps://ask.sagemath.org/question/10350/compute-radical-and-idempotents-of-a-quotient-algebra/I tried the following:
R.<x, y> = PolynomialRing(QQ, 2)
I = Ideal(x^2, y^2)
S = R.quotient(I)
I have the following question:
**I would like to compute with Sage the Jacobson radical of the algebra S,
all primitive orthogonal idempotents and the central idempotents.**
Of course, you can compute this by hand, but I am interested in more
complicated examples, too (also in matrix algebras), but wanted to
start with this simple example.
Since I am relatively new to Sage, I unfortunately do not know how to compute this.
I would be grateful for any help.BernFri, 12 Jul 2013 10:50:17 +0200https://ask.sagemath.org/question/10350/