2021-01-15 10:25:06 +0200 received badge ● Popular Question (source) 2021-01-15 10:25:06 +0200 received badge ● Notable Question (source) 2017-07-05 09:58:47 +0200 commented answer Iterating over finite structures Thank you John. I didn't understand your answer at first but I get it now. It works well seems to be the easiest way to do computations of this nature! 2017-07-05 09:56:17 +0200 received badge ● Scholar (source) 2017-06-15 13:02:01 +0200 commented answer Iterating over finite structures Thank you for the answer. What you do works for V = GF(2)**6, but I already can do that because "for v in V" works here. "for v in V" does not work if "V = GroupAlgebra( GL(2, Zmod(2)), Zmod(2))". My question is precisely for those structures that are finite, and yet don't work with "for v in V". 2017-06-10 13:41:04 +0200 asked a question Iterating over finite structures I am trying to use sage for some algebra computations involving finite rings. Since the structures are finite, I would like to iterate over all the elements of the structure. I know how to iterate in some cases for polynomials in polynomial rings of a certain degree (not necessarily finite): S. = PolynomialRing(Zmod(9)) Then I could do for i in S.polynomials(of_degree = 2): To iterate over all quadratics. What I'd like to do is iterate over all elements of a structure like the finite ring: R = GroupAlgebra( GL(2, Zmod(2)), Zmod(2)) Is there a way to do this in Sage easily?