Question

Are the two ways of creating an $S^{-1}A$ algebra equivalent?

score 92 · Answer 1 · 2026-04-14 23:05:15

92

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Are the two ways of creating an $S^{-1}A$ algebra equivalent?

Published on 14 Apr 2026 - 23:05

score 61 · Answer 2 · 2026-04-15 04:11:10

61

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Example of ideals such that $I^n=0$ but $I^{n-1}\not= 0$

Published on 15 Apr 2026 - 4:11

score 18k · Answer 3 · 2026-05-04 18:12:57

18k

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Every proper ideal is contained in a maximal ideal, in a commutative ring with identity.

Published on 04 May 2026 - 18:12

score 28 · Answer 4 · 2026-04-14 06:49:43

$R$ is the ring $\mathbb{Z}[\sqrt{-k}]$. In $R$, if $3\mid (a+b\sqrt{-k})$, then $3\mid a$ and $3\mid b$ in $\mathbb{Z}$

score 1.3k · Answer 5 · 2026-04-15 04:11:18

1.3k

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Example of non noetherian ring and noetherian $\Bbb Z$-module

Published on 15 Apr 2026 - 4:11

score 761 · Answer 6 · 2026-04-10 18:27:16

761

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judge if nilradical equals jacobson radical

Published on 10 Apr 2026 - 18:27

score 315 · Answer 7 · 2026-04-12 19:07:22

315

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Does there exist a unital ring whose underlying abelian group is $\mathbb{Q}^*$?

Published on 12 Apr 2026 - 19:07

score 12.1k · Answer 8 · 2026-04-10 06:15:35

12.1k

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How do the definitions of "irreducible" and "prime" elements differ?

Published on 10 Apr 2026 - 6:15

score 495 · Answer 9 · 2026-04-16 08:26:54

495

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About rings with a right multiplicative identity $1$ such that every element in $R\setminus\{0\}$ has a left-inverse

Published on 16 Apr 2026 - 8:26

score 1k · Answer 10 · 2026-04-12 07:55:17

1k

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Integral domain without unity has prime characteristic?

Published on 12 Apr 2026 - 7:55

score 103 · Answer 11 · 2026-04-26 01:14:11

103

Views

Is the number of prime ideals in a ring of algebraic integers countable?

Published on 26 Apr 2026 - 1:14

score 53 · Answer 12 · 2026-04-14 00:52:17

53

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How can $\Bbb{Z}/10$ be viewed as a $\Bbb{Z}$-module?

Published on 14 Apr 2026 - 0:52

score 62 · Answer 13 · 2026-04-19 11:01:46

62

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Ideals of $\mathbb{Z}/{p_{1}^{k_{1}}..p_{m}^{k_{m}}}$

Published on 19 Apr 2026 - 11:01

score 128 · Answer 14 · 2026-04-09 11:13:28

128

Views

Definition of ordered ring/field

Published on 09 Apr 2026 - 11:13

score 131 · Answer 15 · 2026-04-13 20:20:07

131

Views

Question regarding gcd in polynomial ring over a field

Published on 13 Apr 2026 - 20:20

List Question

Are the two ways of creating an $S^{-1}A$ algebra equivalent?

Example of ideals such that $I^n=0$ but $I^{n-1}\not= 0$

Every proper ideal is contained in a maximal ideal, in a commutative ring with identity.

$R$ is the ring $\mathbb{Z}[\sqrt{-k}]$. In $R$, if $3\mid (a+b\sqrt{-k})$, then $3\mid a$ and $3\mid b$ in $\mathbb{Z}$

Example of non noetherian ring and noetherian $\Bbb Z$-module

judge if nilradical equals jacobson radical

Does there exist a unital ring whose underlying abelian group is $\mathbb{Q}^*$?

How do the definitions of "irreducible" and "prime" elements differ?

About rings with a right multiplicative identity $1$ such that every element in $R\setminus\{0\}$ has a left-inverse

Integral domain without unity has prime characteristic?

Is the number of prime ideals in a ring of algebraic integers countable?

How can $\Bbb{Z}/10$ be viewed as a $\Bbb{Z}$-module?

Ideals of $\mathbb{Z}/{p_{1}^{k_{1}}..p_{m}^{k_{m}}}$

Definition of ordered ring/field

Question regarding gcd in polynomial ring over a field

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