ilmarchese

### Questions (9)

 9 When a matrix has same eigenvalues of its column-swapped version? 4 Are the $\{\alpha \in \mathbb{Q}(\theta) | Tr(\alpha\cdot\mathbb{Z}[\theta]) \subset \mathbb{Z}\}$ the algebraic integers of $\mathbb{Q}(\theta)$? 2 Does every ideal of a subring $A$ of a Dedekind domain $D$ factorize uniquely in a product of prime ideals of $A$? 2 Why $\mathbb{Z}[\theta]\,/\,\mathcal{P} \simeq \mathbb{F}_{p^e}$ for any non-zero prime ideal $\mathcal{P}$ of $\mathbb{Z}[\theta]$? 2 Two conjectures about the diameter of the generalized Hamming graphs on distance $r\geq 1$.

### Reputation (181)

 +5 When a matrix has same eigenvalues of its column-swapped version? +10 Does every ideal of a subring $A$ of a Dedekind domain $D$ factorize uniquely in a product of prime ideals of $A$? +5 Why $\mathbb{Z}[\theta]\,/\,\mathcal{P}$ is an algebraic extension over $\mathbb{Z}/p\mathbb{Z}$? +5 Why $\mathbb{Z}[\theta]\,/\,\mathcal{P} \simeq \mathbb{F}_{p^e}$ for any non-zero prime ideal $\mathcal{P}$ of $\mathbb{Z}[\theta]$?

 3 Why is the CRC, essentially polynomial division over GF(2), linear? 2 Is there any known relationship between $\sum_{i=1}^{n} f(i)$ and $\sum_{i=1}^{n} \dfrac {1}{f(i)}$ 0 Conditioning number of edges

### Tags (25)

 3 polynomials × 2 0 algebraic-number-theory × 4 2 sequences-and-series 0 spectral-graph-theory × 4 2 calculus 0 binomial-coefficients × 4 2 algebra-precalculus 0 ideals × 3 0 graph-theory × 5 0 integer-rings × 2

### Accounts (4)

 Mathematics 181 rep 12 Stack Overflow 6 rep 7 Cryptography 1 rep 1 MathOverflow 1 rep 1