Question

Solve for $p(x-1) = x+1$ in $\mathbb C[x]/(x^3-x^2)$ (or give software to help)

score 77 · Answer 1 · 2026-04-16 18:06:05

77

Views

Solve for $p(x-1) = x+1$ in $\mathbb C[x]/(x^3-x^2)$ (or give software to help)

Published on 16 Apr 2026 - 18:06

score 117 · Answer 2 · 2026-04-16 07:31:35

117

Views

If $V = \mathcal Z(xy-1)$ is the hyperbola $y=1/x$ in $\mathbb R^2$, how is $(xy-1)=\mathcal I (\mathcal Z(xy-1))$.

Published on 16 Apr 2026 - 7:31

score 133 · Answer 3 · 2026-04-12 11:34:43

133

Views

Prime below prime is unique

Published on 12 Apr 2026 - 11:34

score 140 · Answer 4 · 2020-03-29 18:27:18

140

Views

Why does the minimal polynomial in $\mathbb{R}[X]$ have to have degree less than or equal to $2$?

Published on 29 Mar 2020 - 18:27

score 169 · Answer 5 · 2026-04-10 17:10:35

169

Views

Suppose H is a subring of R such that for every $r∈H$ we have $r^2=e$. Prove that $H$ is commutative.

Published on 10 Apr 2026 - 17:10

score 30 · Answer 6 · 2026-04-07 15:33:24

30

Views

Is $\prod (x - (\sqrt[p]{2}\zeta_{p}^s + \sqrt[q]{3}\zeta_{q}^r) )$ a polynomial with rational coefficients, p, q prime?

Published on 07 Apr 2026 - 15:33

score 19 · Answer 7 · 2026-04-16 13:20:54

19

Views

For any $R$-submodule $N$ of $M$, $N=Ma~\text{ if and only if}~ N=MaR,a\in R.$

Published on 16 Apr 2026 - 13:20

score 99 · Answer 8 · 2026-04-19 15:55:55

99

Views

How many roots has the equation $x^3+x^2+x+1=0$ modulo $340$?

Published on 19 Apr 2026 - 15:55

score 1.3k · Answer 9 · 2026-03-26 09:39:07

1.3k

Views

Correspondence theorem in Ring theory

Published on 26 Mar 2026 - 9:39

score 38 · Answer 10 · 2026-04-10 07:55:58

38

Views

Definition: Tower of Rings

Published on 10 Apr 2026 - 7:55

score 205 · Answer 11 · 2026-04-28 10:54:49

205

Views

Field with characteristic zero is vector space over $\mathbb{Q}$

Published on 28 Apr 2026 - 10:54

score 151 · Answer 12 · 2026-04-28 11:01:56

151

Views

Non-isomorphic subrings of $\mathbb Q$ which are not fields.

Published on 28 Apr 2026 - 11:01

score 1k · Answer 13 · 2026-04-14 10:09:30

1k

Views

Let $R$ be a specific two by two matrix set. Prove that $R$ is a subring of $M_2 (\mathbb R)$

Published on 14 Apr 2026 - 10:09

score 90 · Answer 14 · 2026-04-16 14:49:38

90

Views

When $x\otimes y=0$, what can we say about $x$ and $y$?

Published on 16 Apr 2026 - 14:49

score 137 · Answer 15 · 2026-04-15 18:10:46

137

Views

Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?

Published on 15 Apr 2026 - 18:10

List Question

Solve for $p(x-1) = x+1$ in $\mathbb C[x]/(x^3-x^2)$ (or give software to help)

If $V = \mathcal Z(xy-1)$ is the hyperbola $y=1/x$ in $\mathbb R^2$, how is $(xy-1)=\mathcal I (\mathcal Z(xy-1))$.

Prime below prime is unique

Why does the minimal polynomial in $\mathbb{R}[X]$ have to have degree less than or equal to $2$?

Suppose H is a subring of R such that for every $r∈H$ we have $r^2=e$. Prove that $H$ is commutative.

Is $\prod (x - (\sqrt[p]{2}\zeta_{p}^s + \sqrt[q]{3}\zeta_{q}^r) )$ a polynomial with rational coefficients, p, q prime?

For any $R$-submodule $N$ of $M$, $N=Ma~\text{ if and only if}~ N=MaR,a\in R.$

How many roots has the equation $x^3+x^2+x+1=0$ modulo $340$?

Correspondence theorem in Ring theory

Definition: Tower of Rings

Field with characteristic zero is vector space over $\mathbb{Q}$

Non-isomorphic subrings of $\mathbb Q$ which are not fields.

Let $R$ be a specific two by two matrix set. Prove that $R$ is a subring of $M_2 (\mathbb R)$

When $x\otimes y=0$, what can we say about $x$ and $y$?

Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?

Trending Questions

Popular # Hahtags

Popular Questions