Question

Localization of a fiber ring. ${(B\otimes_A \kappa(\mathfrak{p}))}_\mathfrak{r} = B_\mathfrak{q}\otimes_A \kappa(\mathfrak{p})$?

score 195 · Answer 1 · 2026-04-16 15:29:33

195

Views

Localization of a fiber ring. ${(B\otimes_A \kappa(\mathfrak{p}))}_\mathfrak{r} = B_\mathfrak{q}\otimes_A \kappa(\mathfrak{p})$?

Published on 16 Apr 2026 - 15:29

score 173 · Answer 2 · 2026-05-10 23:54:14

173

Views

Finite dimension quotient ring

Published on 10 May 2026 - 23:54

score 93 · Answer 3 · 2026-04-12 10:31:17

93

Views

A question on ring isomorphisms

Published on 12 Apr 2026 - 10:31

score 164 · Answer 4 · 2026-04-18 04:32:29

164

Views

Prove that $\mathbb{C}[x]/(x^2+3x)$ is isomorphic to $\mathbb{C} \oplus \mathbb{C}$

Published on 18 Apr 2026 - 4:32

score 319 · Answer 5 · 2026-04-12 02:50:06

319

Views

Examples of Abelian rings

Published on 12 Apr 2026 - 2:50

score 146 · Answer 6 · 2026-04-15 18:00:53

146

Views

Find all the invertible elements, zero dividers and nilpontent elements of the ring.

Published on 15 Apr 2026 - 18:00

score 102 · Answer 7 · 2026-05-10 18:26:29

102

Views

For $p$ prime in $\mathbb{Z}[i]$, show $p \equiv 3 \mod 4$ using ring theory.

Published on 10 May 2026 - 18:26

score 108 · Answer 8 · 2026-05-10 19:52:12

108

Views

Prove $f(X)=(f(X))$. Is necessary for $f$ to be an epimorphism?

Published on 10 May 2026 - 19:52

score 67 · Answer 9 · 2026-04-14 02:20:59

67

Views

Are the rings $\mathbb{Z}_2[X] /(X^2 + 1)$ and $\mathbb{Z}_2 \times \mathbb{Z}_2$ isomorphic?

Published on 14 Apr 2026 - 2:20

score 61 · Answer 10 · 2026-04-13 22:15:29

61

Views

Are the rings $\mathbb{Z}_3[X] /(X^2 + 2)$ and $\mathbb{Z}_3 \times \mathbb{Z}_3$ isomorphic?

Published on 13 Apr 2026 - 22:15

score 341 · Answer 11 · 2026-04-17 02:51:30

341

Views

$f_{p} (x^{p^{e-1}})$ is an irreducible polynomial in $\mathbb{Q}[x]$ for every prime $p$ and every postive integer$e$.

Published on 17 Apr 2026 - 2:51

score 985 · Answer 12 · 2026-05-15 21:17:25

985

Views

Why matrices commuting with $\small\begin{bmatrix} 0&1\\-1&0\end{bmatrix}$ represent complex numbers?

Published on 15 May 2026 - 21:17

score 81 · Answer 13 · 2026-04-13 18:40:35

81

Views

Matrix over division ring having one sided inverse is invertible

Published on 13 Apr 2026 - 18:40

score 84 · Answer 14 · 2026-04-16 02:56:34

84

Views

Q about 2nd isomorphism Th for rings: Is this true $(S+I)/I\cong S/(S\cap I)\cong S/I$, for subring $S$ and ideal $I$?

Published on 16 Apr 2026 - 2:56

score 129 · Answer 15 · 2026-05-11 06:15:31

129

Views

Polynomial map $K[t] \to K[t]$ induces flat module structure

Published on 11 May 2026 - 6:15

List Question

Localization of a fiber ring. ${(B\otimes_A \kappa(\mathfrak{p}))}_\mathfrak{r} = B_\mathfrak{q}\otimes_A \kappa(\mathfrak{p})$?

Finite dimension quotient ring

A question on ring isomorphisms

Prove that $\mathbb{C}[x]/(x^2+3x)$ is isomorphic to $\mathbb{C} \oplus \mathbb{C}$

Examples of Abelian rings

Find all the invertible elements, zero dividers and nilpontent elements of the ring.

For $p$ prime in $\mathbb{Z}[i]$, show $p \equiv 3 \mod 4$ using ring theory.

Prove $f(X)=(f(X))$. Is necessary for $f$ to be an epimorphism?

Are the rings $\mathbb{Z}_2[X] /(X^2 + 1)$ and $\mathbb{Z}_2 \times \mathbb{Z}_2$ isomorphic?

Are the rings $\mathbb{Z}_3[X] /(X^2 + 2)$ and $\mathbb{Z}_3 \times \mathbb{Z}_3$ isomorphic?

$f_{p} (x^{p^{e-1}})$ is an irreducible polynomial in $\mathbb{Q}[x]$ for every prime $p$ and every postive integer$e$.

Why matrices commuting with $\small\begin{bmatrix} 0&1\\-1&0\end{bmatrix}$ represent complex numbers?

Matrix over division ring having one sided inverse is invertible

Q about 2nd isomorphism Th for rings: Is this true $(S+I)/I\cong S/(S\cap I)\cong S/I$, for subring $S$ and ideal $I$?

Polynomial map $K[t] \to K[t]$ induces flat module structure

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