Question

Verifying Subtraction Closure in the Product of Two Ideals

score 315 · Answer 1 · 2018-02-03 00:49:50

315

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Verifying Subtraction Closure in the Product of Two Ideals

Published on 03 Feb 2018 - 0:49

score 57 · Answer 2 · 2018-02-04 17:59:15

57

Views

A function on ideals that converts intersection to sum

Published on 04 Feb 2018 - 17:59

score 167 · Answer 3 · 2018-02-05 06:30:34

167

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 05 Feb 2018 - 6:30

score 1.3k · Answer 4 · 2026-03-20 03:00:02

1.3k

Views

Ideal Generated by Nilpotent Elements is a Nilpotent Ideal

Published on 20 Mar 2026 - 3:00

score 206 · Answer 5 · 2018-02-07 15:42:47

206

Views

Embedded primes in reduced rings

Published on 07 Feb 2018 - 15:42

score 76 · Answer 6 · 2018-02-08 04:24:00

76

Views

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

Published on 08 Feb 2018 - 4:24

score 464 · Answer 7 · 2026-03-22 20:20:31

464

Views

Minimal ideal in commutative finite rings

Published on 22 Mar 2026 - 20:20

score 95 · Answer 8 · 2018-02-12 19:50:08

95

Views

Coset representatives in the quotient of ring of integers

Published on 12 Feb 2018 - 19:50

score 58 · Answer 9 · 2026-03-17 05:34:42

58

Views

A property similar to compactly packed

Published on 17 Mar 2026 - 5:34

score 380 · Answer 10 · 2026-03-22 20:31:54

380

Views

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

Published on 22 Mar 2026 - 20:31

score 940 · Answer 11 · 2026-03-17 19:36:57

940

Views

Valuation ring lying between a valuation ring and its fraction field

Published on 17 Mar 2026 - 19:36

score 575 · Answer 12 · 2026-03-25 05:21:00

575

Views

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

Published on 25 Mar 2026 - 5:21

score 78 · Answer 13 · 2018-02-17 04:33:32

78

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 17 Feb 2018 - 4:33

score 123 · Answer 14 · 2018-02-17 06:58:10

123

Views

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

Published on 17 Feb 2018 - 6:58

score 76 · Answer 15 · 2018-02-19 12:40:48

76

Views

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

Published on 19 Feb 2018 - 12:40

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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