mebassett
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 3h awarded Popular Question Sep30 awarded Explainer Sep24 awarded Autobiographer Jul2 awarded Curious Mar18 awarded Yearling Feb25 revised Prime polynomials over GF(q) adding relevant tag Feb25 suggested approved edit on Prime polynomials over GF(q) Feb25 asked co-idempotents: algebraic dual of an idempotent element? Feb24 answered Comultiplication of sum Feb16 revised dimension of tensor products over a submodule added 16 characters in body; edited tags Feb16 awarded Tumbleweed Feb9 asked dimension of tensor products over a submodule Jan26 comment Category of $\textbf{Ring}$. it's sometimes easier to have a convention that excludes slightly trivial or slightly pathological examples. Dummit and Foote just take a ring to mean something with a unit, they never deal with unit-less rings, and it's extra baggage to carry that around when you aren't using it. Jan26 comment Univariate and Matrix Representation of Affine Transformation the map $\phi$ is implicit in what I'm doing, it's essentially a change-of-basis matrix. if you let $e_i$ be the canonical basis (a column with all 0s except on the i-th row, that's a 1) for $\mathbb{F}^n$, then $\phi : \mathbb{F}^n \to \mathbb{E}^n$ by $e_i \mapsto \{\text{some expression in the t basis I gave}\}$ then it'll do the trick. Jan25 comment Univariate and Matrix Representation of Affine Transformation I'm not 100% sure I'm correct on the last step, but hopefully you see the idea now? :) Jan25 revised Univariate and Matrix Representation of Affine Transformation expanding a lot Jan25 comment Application of Category Theory you might look at these questions: math.stackexchange.com/questions/312605/… and mathoverflow.net/questions/19325/… (heavier maths there) Jan25 revised Univariate and Matrix Representation of Affine Transformation missing a key detail about the finite field. Jan25 answered Univariate and Matrix Representation of Affine Transformation Jan25 suggested approved edit on Univariate and Matrix Representation of Affine Transformation