MathTeacher
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### Questions (12)

 32 How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$? 6 How do I find a splitting field $x^8-3$ over $\mathbb{Q}$? 5 How do I show that $\mathbb{Q}(\sqrt[4]{7},\sqrt{-1})$ is Galois? 4 What is a good example to show high school students why a proof for induction is a reasonable kind of proof? 4 How do I get this matrix in Smith Normal Form? And, is Smith Normal Form unique?

### Reputation (433)

 +5 How do I get this matrix in Smith Normal Form? And, is Smith Normal Form unique? +5 What is a“canonical morphism” in a category? +20 How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$? +5 In the category of Abelian Groups, what precisely is the canonical morphism? What about for the category of sets?

 1 Why is $\frac{1}{\frac{1}{X}}=X$? 0 Should a high school introductory calculus class teach $\varepsilon$-$\delta$ proofs? 0 proof of chain rule

### Tags (28)

 1 arithmetic 0 education × 3 1 intuition 0 field-theory × 2 1 inverse 0 category-theory × 2 1 fractions 0 derivatives 0 abstract-algebra × 5 0 algebra-precalculus

### Accounts (6)

 Mathematics 433 rep 513 Mathematics Educators 246 rep 15 Philosophy 150 rep 4 TeX - LaTeX 133 rep 4 Music: Practice & Theory 131 rep 2