Question

Checking whether a map satisfies being homomorphism

score 874 · Answer 1 · 2026-04-14 11:12:02

874

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Checking whether a map satisfies being homomorphism

Published on 14 Apr 2026 - 11:12

score 177 · Answer 2 · 2026-04-12 03:39:18

177

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Completion of absolute value on an integral domain

Published on 12 Apr 2026 - 3:39

score 4.9k · Answer 3 · 2026-04-13 19:58:58

4.9k

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Euclidean domain: every irreducible element is prime

Published on 13 Apr 2026 - 19:58

score 340 · Answer 4 · 2026-04-16 16:49:24

340

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If $P \in \operatorname{Ass}M$, then $R/P \subset M$.

Published on 16 Apr 2026 - 16:49

score 720 · Answer 5 · 2026-04-27 15:44:56

720

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$\operatorname{rad}(I)=\bigcap_{I\subset P,~P\text{ prime}}P$

Published on 27 Apr 2026 - 15:44

score 1.2k · Answer 6 · 2026-04-15 18:20:26

1.2k

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Which of the following is also an ideal?

Published on 15 Apr 2026 - 18:20

score 135 · Answer 7 · 2026-04-15 16:16:27

If $f_1,...,f_{n+1}\in\mathbb{C}[x_1,...,x_n]$, is there a polynomial in the coefficients which vanishes iff the $f_i$ have a common root?

score 460 · Answer 8 · 2026-04-16 17:27:39

460

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Showing that the $\text{ord}(a+b) = \text{min}(\text{ord}(a),\text{ord}(b))$ in a DVR

Published on 16 Apr 2026 - 17:27

score 2.8k · Answer 9 · 2026-04-16 04:38:56

2.8k

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Find the number of prime ideals (CSIR 2014)

Published on 16 Apr 2026 - 4:38

score 501 · Answer 10 · 2026-04-25 09:02:35

501

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Prove that $\mathbb{Z}[\zeta_{p} + \zeta_{p}^{-1}]$ is the ring of integers of $\mathbb{Q}(\zeta_{p} + \zeta_{p}^{-1})$

Published on 25 Apr 2026 - 9:02

score 9.4k · Answer 11 · 2026-04-08 18:46:53

9.4k

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Cancellation laws in Rings

Published on 08 Apr 2026 - 18:46

score 509 · Answer 12 · 2026-04-14 17:33:39

509

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Prove that T is not a zerodivisor in A[T]

Published on 14 Apr 2026 - 17:33

score 1.6k · Answer 13 · 2026-04-17 09:36:17

1.6k

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$\mathbb{Q}(\sqrt{m}, \sqrt{n})$ : ring of integers, integral basis and discriminant

Published on 17 Apr 2026 - 9:36

score 422 · Answer 14 · 2026-04-27 15:44:31

422

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Prove that a subset is a finitely generated subring

Published on 27 Apr 2026 - 15:44

score 5.1k · Answer 15 · 2026-04-16 05:33:26

5.1k

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"In a finite commutative ring, prove every element is a unit or zero divisor." What happens if we drop "finite"?

Published on 16 Apr 2026 - 5:33

List Question

Checking whether a map satisfies being homomorphism

Completion of absolute value on an integral domain

Euclidean domain: every irreducible element is prime

If $P \in \operatorname{Ass}M$, then $R/P \subset M$.

$\operatorname{rad}(I)=\bigcap_{I\subset P,~P\text{ prime}}P$

Which of the following is also an ideal?

If $f_1,...,f_{n+1}\in\mathbb{C}[x_1,...,x_n]$, is there a polynomial in the coefficients which vanishes iff the $f_i$ have a common root?

Showing that the $\text{ord}(a+b) = \text{min}(\text{ord}(a),\text{ord}(b))$ in a DVR

Find the number of prime ideals (CSIR 2014)

Prove that $\mathbb{Z}[\zeta_{p} + \zeta_{p}^{-1}]$ is the ring of integers of $\mathbb{Q}(\zeta_{p} + \zeta_{p}^{-1})$

Cancellation laws in Rings

Prove that T is not a zerodivisor in A[T]

$\mathbb{Q}(\sqrt{m}, \sqrt{n})$ : ring of integers, integral basis and discriminant

Prove that a subset is a finitely generated subring

"In a finite commutative ring, prove every element is a unit or zero divisor." What happens if we drop "finite"?

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