Question

Proving a conjugate is a root

score 43 · Answer 1 · 2026-04-12 06:51:30

43

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Proving a conjugate is a root

Published on 12 Apr 2026 - 6:51

score 53 · Answer 2 · 2026-04-17 16:03:52

53

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Prove that $V \subset \mathbb{Q}[x]$ (set of polynomials of degree at most n) is not a subring of $\mathbb{Q}[x]$

Published on 17 Apr 2026 - 16:03

score 35 · Answer 3 · 2026-04-15 18:20:23

35

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$R$ is a communitive without an identity, $M$ is the maximal ideal of $R$ and $R/M$ is not a field.How to prove $(R/M)^{2}=0?$

Published on 15 Apr 2026 - 18:20

score 260 · Answer 4 · 2026-04-09 09:21:28

260

Views

R-R bimodule definition

Published on 09 Apr 2026 - 9:21

score 224 · Answer 5 · 2026-04-22 06:13:15

224

Views

Proof $a+a = 0$ by given $a\times a = a$

Published on 22 Apr 2026 - 6:13

score 37 · Answer 6 · 2026-04-14 00:23:20

37

Views

Factor Ring $Z[i]/\langle3+i\rangle$ Ring operations

Published on 14 Apr 2026 - 0:23

score 53 · Answer 7 · 2026-04-15 00:06:41

53

Views

Homomorphic image of a ring

Published on 15 Apr 2026 - 0:06

score 223 · Answer 8 · 2026-04-11 02:46:59

223

Views

Rings and Lattices

Published on 11 Apr 2026 - 2:46

score 130 · Answer 9 · 2026-04-25 19:42:09

130

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How do the isomorphisms defining a Morita equivalence interact?

Published on 25 Apr 2026 - 19:42

score 1.4k · Answer 10 · 2026-05-10 16:13:31

1.4k

Views

Proof of: if A is an integral domain, then the units of A[x] are the constant polynomials that are units of A

Published on 10 May 2026 - 16:13

score 40 · Answer 11 · 2026-04-16 16:05:35

40

Views

Number of elements in $\mathbb{F}_2[x]/(x^2)$ and $\mathbb{F}_5[x]/(x^2+3)$.

Published on 16 Apr 2026 - 16:05

score 48 · Answer 12 · 2026-04-15 13:26:58

48

Views

If $J = (a_1, a_2, \ldots)$ is dense, does that imply $J = (a_1^{n_1}, a_2^{n_2}, \ldots)$ is dense too?

Published on 15 Apr 2026 - 13:26

score 67 · Answer 13 · 2026-04-13 21:37:58

67

Views

Prove $X \cong R$

Published on 13 Apr 2026 - 21:37

score 979 · Answer 14 · 2026-05-05 15:33:52

979

Views

Confusion about definition of height of prime ideal. How do minimal prime ideals have height 0?

Published on 05 May 2026 - 15:33

score 261 · Answer 15 · 2026-04-22 10:49:05

261

Views

Prove $S=\{a+b\sqrt[3]{2} +c\sqrt[3]{4}:a,b,c \in \mathbb{Q}\}$ is a ring.

Published on 22 Apr 2026 - 10:49

List Question

Proving a conjugate is a root

Prove that $V \subset \mathbb{Q}[x]$ (set of polynomials of degree at most n) is not a subring of $\mathbb{Q}[x]$

$R$ is a communitive without an identity, $M$ is the maximal ideal of $R$ and $R/M$ is not a field.How to prove $(R/M)^{2}=0?$

R-R bimodule definition

Proof $a+a = 0$ by given $a\times a = a$

Factor Ring $Z[i]/\langle3+i\rangle$ Ring operations

Homomorphic image of a ring

Rings and Lattices

How do the isomorphisms defining a Morita equivalence interact?

Proof of: if A is an integral domain, then the units of A[x] are the constant polynomials that are units of A

Number of elements in $\mathbb{F}_2[x]/(x^2)$ and $\mathbb{F}_5[x]/(x^2+3)$.

If $J = (a_1, a_2, \ldots)$ is dense, does that imply $J = (a_1^{n_1}, a_2^{n_2}, \ldots)$ is dense too?

Prove $X \cong R$

Confusion about definition of height of prime ideal. How do minimal prime ideals have height 0?

Prove $S=\{a+b\sqrt[3]{2} +c\sqrt[3]{4}:a,b,c \in \mathbb{Q}\}$ is a ring.

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