Question

Ideals of the algebra of all bounded linear operators on $\ell_p \oplus \ell_q$

score 399 · Answer 1 · 2026-04-21 13:32:07

399

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Ideals of the algebra of all bounded linear operators on $\ell_p \oplus \ell_q$

Published on 21 Apr 2026 - 13:32

score 8k · Answer 2 · 2026-04-11 13:04:12

8k

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Let $R$ be a finite commutative ring. Show that an ideal is maximal if and only if it is prime.

Published on 11 Apr 2026 - 13:04

score 1.5k · Answer 3 · 2026-04-16 09:05:05

1.5k

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Integral extension implies that the induced map on prime spectra is closed

Published on 16 Apr 2026 - 9:05

score 270 · Answer 4 · 2026-04-21 13:30:23

270

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Maximal Ideals of the Wiener Algebra

Published on 21 Apr 2026 - 13:30

score 1.4k · Answer 5 · 2026-04-15 23:14:27

1.4k

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Solving $x^2+19=y^5$

Published on 15 Apr 2026 - 23:14

score 3.3k · Answer 6 · 2026-04-14 04:34:44

3.3k

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Factoring the ideal $(8)$ into a product of prime ideals in $\mathbb{Q}(\sqrt{-7})$

Published on 14 Apr 2026 - 4:34

score 1.1k · Answer 7 · 2026-04-15 03:33:08

1.1k

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Let $I$ be a minimal ideal of a ring $R$. Then, $I$ is a direct summand of $R$ if and only if $I^2\neq \{0\}$.

Published on 15 Apr 2026 - 3:33

score 4.9k · Answer 8 · 2026-04-16 14:42:05

4.9k

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For a ring R, and ideals $A$, $B$, then $AB=A \cap B$ if $A + B = R$

Published on 16 Apr 2026 - 14:42

score 209 · Answer 9 · 2026-04-08 20:40:54

209

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$(ax)(ay) = a(xy) \in (a)$

Published on 08 Apr 2026 - 20:40

score 216 · Answer 10 · 2026-04-13 20:12:02

216

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Proving a factorization of ideals in a Dedekind Domain

Published on 13 Apr 2026 - 20:12

score 4.8k · Answer 11 · 2026-04-09 16:26:25

4.8k

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Help with proof that $I = \langle 2 + 2i \rangle$ is not a prime ideal of $Z[i]$

Published on 09 Apr 2026 - 16:26

score 13k · Answer 12 · 2026-04-11 18:24:43

13k

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Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.

Published on 11 Apr 2026 - 18:24

score 282 · Answer 13 · 2026-04-12 21:20:54

282

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Union of Associated Primes being finite.

Published on 12 Apr 2026 - 21:20

score 728 · Answer 14 · 2026-04-24 13:26:04

728

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Krull Dimension

Published on 24 Apr 2026 - 13:26

score 4.4k · Answer 15 · 2026-04-13 12:43:40

4.4k

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Norm of ideals in quadratic number fields

Published on 13 Apr 2026 - 12:43

List Question

Ideals of the algebra of all bounded linear operators on $\ell_p \oplus \ell_q$

Let $R$ be a finite commutative ring. Show that an ideal is maximal if and only if it is prime.

Integral extension implies that the induced map on prime spectra is closed

Maximal Ideals of the Wiener Algebra

Solving $x^2+19=y^5$

Factoring the ideal $(8)$ into a product of prime ideals in $\mathbb{Q}(\sqrt{-7})$

Let $I$ be a minimal ideal of a ring $R$. Then, $I$ is a direct summand of $R$ if and only if $I^2\neq \{0\}$.

For a ring R, and ideals $A$, $B$, then $AB=A \cap B$ if $A + B = R$

$(ax)(ay) = a(xy) \in (a)$

Proving a factorization of ideals in a Dedekind Domain

Help with proof that $I = \langle 2 + 2i \rangle$ is not a prime ideal of $Z[i]$

Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.

Union of Associated Primes being finite.

Krull Dimension

Norm of ideals in quadratic number fields

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