Question

Finding essential ideal in a ring $R$

score 252 · Answer 1 · 2026-03-30 03:05:33

252

Views

Finding essential ideal in a ring $R$

Published on 30 Mar 2026 - 3:05

score 48 · Answer 2 · 2026-03-25 23:51:31

48

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How the multiplication in Ring-LWE is defined?

Published on 25 Mar 2026 - 23:51

score 357 · Answer 3 · 2026-03-30 15:54:55

357

Views

Nilpotent ring and Nilpotent groups.

Published on 30 Mar 2026 - 15:54

score 333 · Answer 4 · 2026-03-28 21:06:30

333

Views

Determine the maximal ideals of $\mathbb R^2$ by noting $\mathbb R^2 \cong \mathbb R[x]/(x^2-1)$

Published on 28 Mar 2026 - 21:06

score 1.9k · Answer 5 · 2018-12-22 09:08:33

1.9k

Views

Let $P$ be prime and contain $IJ$, the product ideal. Then $I \subset P$ or $J \subset P$

Published on 22 Dec 2018 - 9:08

score 1.8k · Answer 6 · 2026-03-25 11:34:14

1.8k

Views

The converse of "nilpotent elements are zero-divisors"

Published on 25 Mar 2026 - 11:34

score 2.2k · Answer 7 · 2026-03-25 05:07:38

2.2k

Views

If ideal $I$ of domain $R$ is free $R$-module, then $I$ is principal ideal.

Published on 25 Mar 2026 - 5:07

score 210 · Answer 8 · 2026-03-30 03:04:17

210

Views

If $I,J,K$ are ideals of a ring $R$ and $I+J=J+K=K+I=R$ then $IJ+JK+KI=R$

Published on 30 Mar 2026 - 3:04

score 291 · Answer 9 · 2018-12-23 19:11:31

291

Views

Quotient of annihilator ideal

Published on 23 Dec 2018 - 19:11

score 353 · Answer 10 · 2018-12-23 19:19:38

353

Views

Question about the zero ideal in $\mathbb{Z}$

Published on 23 Dec 2018 - 19:19

score 567 · Answer 11 · 2026-03-26 07:33:29

567

Views

Proving a quartic polynomial irreducible by Eisenstein (or other ways)

Published on 26 Mar 2026 - 7:33

score 1.5k · Answer 12 · 2026-03-30 03:04:17

1.5k

Views

If I and J are two ideals, I∪J is an ideal if and only if I⊂J or J⊂I. How can we prove the subset part?

Published on 30 Mar 2026 - 3:04

score 176 · Answer 13 · 2018-12-25 06:23:59

176

Views

If domain $A$ of the homomorphism $f$ is a field, and if the range of $f$ has more than one element, then $f$ is injective.

Published on 25 Dec 2018 - 6:23

score 51 · Answer 14 · 2018-12-25 14:21:04

51

Views

Is the natural order on an idempotent semiring total/linear?

Published on 25 Dec 2018 - 14:21

score 166 · Answer 15 · 2018-12-26 02:25:41

In ring theory, is every real number divisible by any other nonzero real number, precisely because nonzero division is closed in $\mathbb{R}$?

List Question

Finding essential ideal in a ring $R$

How the multiplication in Ring-LWE is defined?

Nilpotent ring and Nilpotent groups.

Determine the maximal ideals of $\mathbb R^2$ by noting $\mathbb R^2 \cong \mathbb R[x]/(x^2-1)$

Let $P$ be prime and contain $IJ$, the product ideal. Then $I \subset P$ or $J \subset P$

The converse of "nilpotent elements are zero-divisors"

If ideal $I$ of domain $R$ is free $R$-module, then $I$ is principal ideal.

If $I,J,K$ are ideals of a ring $R$ and $I+J=J+K=K+I=R$ then $IJ+JK+KI=R$

Quotient of annihilator ideal

Question about the zero ideal in $\mathbb{Z}$

Proving a quartic polynomial irreducible by Eisenstein (or other ways)

If I and J are two ideals, I∪J is an ideal if and only if I⊂J or J⊂I. How can we prove the subset part?

If domain $A$ of the homomorphism $f$ is a field, and if the range of $f$ has more than one element, then $f$ is injective.

Is the natural order on an idempotent semiring total/linear?

In ring theory, is every real number divisible by any other nonzero real number, precisely because nonzero division is closed in $\mathbb{R}$?

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