Question

Verifying Subtraction Closure in the Product of Two Ideals

score 318 · Answer 1 · 2026-04-11 08:08:48

318

Views

Verifying Subtraction Closure in the Product of Two Ideals

Published on 11 Apr 2026 - 8:08

score 60 · Answer 2 · 2026-04-09 00:48:32

60

Views

A function on ideals that converts intersection to sum

Published on 09 Apr 2026 - 0:48

score 170 · Answer 3 · 2026-04-17 08:19:39

170

Views

For coprime ideals $ I_1,\dots,I_n$ of $R$ and module $M$, we have $(I_1 I_2 \cdots I_n) M= I_1 M \cap \cdots\cap I_n M$

Published on 17 Apr 2026 - 8:19

score 1.4k · Answer 4 · 2026-05-07 18:43:58

1.4k

Views

Ideal Generated by Nilpotent Elements is a Nilpotent Ideal

Published on 07 May 2026 - 18:43

score 210 · Answer 5 · 2026-04-11 08:28:46

210

Views

Embedded primes in reduced rings

Published on 11 Apr 2026 - 8:28

score 79 · Answer 6 · 2026-04-09 14:32:54

79

Views

Show that $n\mathbb{Z} + m\mathbb{Z} = h \mathbb{Z}$, where $h = hcf(m,n)$

Published on 09 Apr 2026 - 14:32

score 468 · Answer 7 · 2026-04-24 02:20:56

468

Views

Minimal ideal in commutative finite rings

Published on 24 Apr 2026 - 2:20

score 98 · Answer 8 · 2026-04-15 12:32:29

98

Views

Coset representatives in the quotient of ring of integers

Published on 15 Apr 2026 - 12:32

score 61 · Answer 9 · 2026-04-16 04:24:12

61

Views

A property similar to compactly packed

Published on 16 Apr 2026 - 4:24

score 386 · Answer 10 · 2026-05-04 11:21:15

386

Views

If the initial monomial ideal $in_<(I)$ is square free, then $I$ is a radical ideal.

Published on 04 May 2026 - 11:21

score 942 · Answer 11 · 2026-04-14 11:07:46

942

Views

Valuation ring lying between a valuation ring and its fraction field

Published on 14 Apr 2026 - 11:07

score 585 · Answer 12 · 2026-04-29 12:42:29

585

Views

Why is a Nonzero Ideal of $\mathcal{O}_K$ Free of Rank $n$?

Published on 29 Apr 2026 - 12:42

score 81 · Answer 13 · 2026-04-15 04:56:16

81

Views

How can I show $(x^2+1, y^2+1)$ is not maximal in $\mathbb R[x,y]$? Is there a geometric interpretation for this?

Published on 15 Apr 2026 - 4:56

score 126 · Answer 14 · 2026-04-14 13:05:03

126

Views

Counter examples for rings without $1$ but with quotient rings with $1$.

Published on 14 Apr 2026 - 13:05

score 79 · Answer 15 · 2026-04-13 12:56:31

79

Views

If k is a singular cardinal then there is no nonprincipal k-complete ideal over k.

Published on 13 Apr 2026 - 12:56

List Question

Verifying Subtraction Closure in the Product of Two Ideals

A function on ideals that converts intersection to sum

For coprime ideals $ I_1,\dots,I_n$ of $R$ and module $M$, we have $(I_1 I_2 \cdots I_n) M= I_1 M \cap \cdots\cap I_n M$

Ideal Generated by Nilpotent Elements is a Nilpotent Ideal

Embedded primes in reduced rings

Show that $n\mathbb{Z} + m\mathbb{Z} = h \mathbb{Z}$, where $h = hcf(m,n)$

Minimal ideal in commutative finite rings

Coset representatives in the quotient of ring of integers

A property similar to compactly packed

If the initial monomial ideal $in_<(I)$ is square free, then $I$ is a radical ideal.

Valuation ring lying between a valuation ring and its fraction field

Why is a Nonzero Ideal of $\mathcal{O}_K$ Free of Rank $n$?

How can I show $(x^2+1, y^2+1)$ is not maximal in $\mathbb R[x,y]$? Is there a geometric interpretation for this?

Counter examples for rings without $1$ but with quotient rings with $1$.

If k is a singular cardinal then there is no nonprincipal k-complete ideal over k.

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