Question

Imposing the integral of a 3D surface over arbitrary 2D domains

score 15 · Answer 1 · 2026-03-03 23:25:16

15

Views

Imposing the integral of a 3D surface over arbitrary 2D domains

Published on 03 Mar 2026 - 23:25

score 928 · Answer 2 · 2022-04-11 02:29:56

928

Views

In an integral domain, show that $a$ and $b$ are associates if and only if $\langle a\rangle=\langle b\rangle$.

Published on 11 Apr 2022 - 2:29

score 376 · Answer 3 · 2022-04-13 13:42:23

376

Views

Let $R$ be a ring and $I$ is it true that:"If $R$ is not an integral domain then also $R/I$ isn't an integral domain"?``

Published on 13 Apr 2022 - 13:42

score 256 · Answer 4 · 2026-03-29 13:27:39

256

Views

Is $\mathbb{R}[X,Y]/(X^2+Y^2-1,X-2)$ an integral domain?

Published on 29 Mar 2026 - 13:27

score 1.3k · Answer 5 · 2022-05-07 10:19:54

1.3k

Views

$\int _C \frac{\exp(z^2)}{z^2\left(z-1-i\right)}dz$, $C$ consists of $|z|=2$ counterclockwise and $|z|=1$ clockwise.

Published on 07 May 2022 - 10:19

score 48 · Answer 6 · 2022-05-20 01:04:32

48

Views

Proof of "If $R$ is an integral domain, then $R[x]$ is an integral domain"

Published on 20 May 2022 - 1:04

score 139 · Answer 7 · 2022-05-23 01:23:28

139

Views

Divisors in GCD domain

Published on 23 May 2022 - 1:23

score 214 · Answer 8 · 2026-03-27 11:48:58

214

Views

Is the ring of formal power series $\mathbb K[[x_1, \dots, X_n]]$ in $n$ indeterminates over a field a PID?

Published on 27 Mar 2026 - 11:48

score 93 · Answer 9 · 2022-06-07 20:12:46

93

Views

Order all the prime ideals of $\Bbb{R}[X]$ and list the maximal ideals.

Published on 07 Jun 2022 - 20:12

score 42 · Answer 10 · 2022-06-17 11:03:11

42

Views

If an element in an integral domain is factorisable into irreducibles, then are all of its divisors factorisable into irreducibles as well?

Published on 17 Jun 2022 - 11:03

score 50 · Answer 11 · 2026-03-27 17:53:04

50

Views

Injective ring homomorphism $f: \Bbb Z/ n\Bbb Z \to A$ does not imply $A$ is an integral domain

Published on 27 Mar 2026 - 17:53

score 64 · Answer 12 · 2022-06-29 12:45:00

64

Views

Polynomial decomposition of $q(x)=x^{p}+px^{p-1}+p-1\in\mathbb{Z}[x]$ ($p$ is a prime number)

Published on 29 Jun 2022 - 12:45

score 53 · Answer 13 · 2022-07-19 02:09:17

53

Views

Manifold re-expressed as a generalized distribution function.

Published on 19 Jul 2022 - 2:09

score 292 · Answer 14 · 2022-08-04 16:34:22

292

Views

Number of ring structures on $\mathbb{Z}$ with the usual multiplication

Published on 04 Aug 2022 - 16:34

score 69 · Answer 15 · 2022-08-25 16:35:12

69

Views

Example of integral domain which is not a UFD

Published on 25 Aug 2022 - 16:35

List Question

Imposing the integral of a 3D surface over arbitrary 2D domains

In an integral domain, show that $a$ and $b$ are associates if and only if $\langle a\rangle=\langle b\rangle$.

Let $R$ be a ring and $I$ is it true that:"If $R$ is not an integral domain then also $R/I$ isn't an integral domain"?``

Is $\mathbb{R}[X,Y]/(X^2+Y^2-1,X-2)$ an integral domain?

$\int _C \frac{\exp(z^2)}{z^2\left(z-1-i\right)}dz$, $C$ consists of $|z|=2$ counterclockwise and $|z|=1$ clockwise.

Proof of "If $R$ is an integral domain, then $R[x]$ is an integral domain"

Divisors in GCD domain

Is the ring of formal power series $\mathbb K[[x_1, \dots, X_n]]$ in $n$ indeterminates over a field a PID?

Order all the prime ideals of $\Bbb{R}[X]$ and list the maximal ideals.

If an element in an integral domain is factorisable into irreducibles, then are all of its divisors factorisable into irreducibles as well?

Injective ring homomorphism $f: \Bbb Z/ n\Bbb Z \to A$ does not imply $A$ is an integral domain

Polynomial decomposition of $q(x)=x^{p}+px^{p-1}+p-1\in\mathbb{Z}[x]$ ($p$ is a prime number)

Manifold re-expressed as a generalized distribution function.

Number of ring structures on $\mathbb{Z}$ with the usual multiplication

Example of integral domain which is not a UFD

Trending Questions

Popular # Hahtags

Popular Questions