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2018-03-08 09:43:03 -0600 | commented question | Examining the quotients of a module $R\times R$ where $R$ is a finite ring. @vdelecroix I would be happy to contribute a module to better handle finite rings and their free modules (I am a professional Python programmer), but it will be a while before I understand the conventions in the codebase. Thanks for taking the time to comment. |

2018-03-07 17:07:38 -0600 | commented question | Examining the quotients of a module $R\times R$ where $R$ is a finite ring. @vdelecroix I've improved the question with more details, now that I have the thing in front of me. |

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2018-03-07 08:45:36 -0600 | asked a question | Examining the quotients of a module $R\times R$ where $R$ is a finite ring. I'm new to Sage, and I've been struggling to get started with (what I thought) should be a basic construction. I have an $8$-element commutative ring $R$ which is constructed as a quotient of a polynomial ring in two variables. I need to examine all of the quotient of the right $R$ module $R\times R$. I tried to use
I have been plagued by NotImplemented errors and a myriad of other error messages every step of the way, even when just attempting to find a method to list all elements of my $8$ element ring. All the examples I've seen really look like they stick to basic linear algebra, or free $\mathbb Z$ modules. I just want to do something similar for my small ring of $8$ elements. Here's what I've been trying: Had the same problem with a univariate polynomial ring over $F_2$ mod $(x^3)$. Obviously the messages are informative enough about what they think is wrong. But this seems like such an elementary task... is there some other class that can handle such a construction? |

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