mebassett
Reputation
572
Top tag
Next privilege 1,000 Rep.
Create new tags
 Feb 25 revised Prime polynomials over GF(q) adding relevant tag Feb 25 suggested approved edit on Prime polynomials over GF(q) Feb 25 asked co-idempotents: algebraic dual of an idempotent element? Feb 24 answered Comultiplication of sum Feb 16 revised dimension of tensor products over a submodule added 16 characters in body; edited tags Feb 16 awarded Tumbleweed Feb 9 asked dimension of tensor products over a submodule Jan 26 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. Jan 26 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. Jan 25 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? :) Jan 25 revised Univariate and Matrix Representation of Affine Transformation expanding a lot Jan 25 comment Application of Category Theory you might look at these questions: math.stackexchange.com/questions/312605/… and mathoverflow.net/questions/19325/… (heavier maths there) Jan 25 revised Univariate and Matrix Representation of Affine Transformation missing a key detail about the finite field. Jan 25 answered Univariate and Matrix Representation of Affine Transformation Jan 25 suggested approved edit on Univariate and Matrix Representation of Affine Transformation Jan 25 revised Univariate and Matrix Representation of Affine Transformation grammar, correction of definitions. Jan 25 suggested approved edit on Univariate and Matrix Representation of Affine Transformation Jan 23 asked kernel of maps associated to the root of an irreducible polynomial Jan 18 revised Prove $\ker {T^k} \cap {\mathop{\rm Im}\nolimits} {T^k} = \{ 0\}$ correct def of Im Jan 18 suggested approved edit on Prove $\ker {T^k} \cap {\mathop{\rm Im}\nolimits} {T^k} = \{ 0\}$