Question

If $R[x]=R \oplus \langle x \rangle \oplus \langle x^2 \rangle \oplus \cdots $ is a grading of $R[x]$, and $r \in R$, then where does $rx$ belong?

score 66 · Answer 1 · 2026-03-25 13:34:19

66

Views

If $R[x]=R \oplus \langle x \rangle \oplus \langle x^2 \rangle \oplus \cdots $ is a grading of $R[x]$, and $r \in R$, then where does $rx$ belong?

Published on 25 Mar 2026 - 13:34

score 273 · Answer 2 · 2026-04-01 00:06:37

273

Views

Ideals of a ring/semiring

Published on 01 Apr 2026 - 0:06

score 138 · Answer 3 · 2026-04-11 15:37:37

138

Views

Showing that two ideals are equivalent.

Published on 11 Apr 2026 - 15:37

score 984 · Answer 4 · 2026-04-13 03:55:50

984

Views

On a ring $R$ such that every subring of $R$ is an ideal .

Published on 13 Apr 2026 - 3:55

score 107 · Answer 5 · 2026-04-10 18:08:15

107

Views

Induced homomorphism between two quotients

Published on 10 Apr 2026 - 18:08

score 347 · Answer 6 · 2026-04-07 18:01:17

347

Views

Chinese remainder theorem does not hold in non commutative case

Published on 07 Apr 2026 - 18:01

score 95 · Answer 7 · 2026-04-11 21:54:40

95

Views

Simple question about ideals and quotient rings

Published on 11 Apr 2026 - 21:54

score 98 · Answer 8 · 2026-04-10 12:17:33

98

Views

Definition of finitely presented $R$-module

Published on 10 Apr 2026 - 12:17

score 39 · Answer 9 · 2026-03-30 11:22:41

39

Views

Product of nonzero ideals in a connected ring

Published on 30 Mar 2026 - 11:22

score 184 · Answer 10 · 2026-04-04 00:54:35

184

Views

associated $\mathbb{C}[t]$- module is cyclic iff cyclic vector exists

Published on 04 Apr 2026 - 0:54

score 45 · Answer 11 · 2026-04-05 21:40:07

45

Views

Notation Question regarding Ring-mod-Number and Ring-mod-Some Kernel

Published on 05 Apr 2026 - 21:40

score 388 · Answer 12 · 2014-03-11 22:01:42

388

Views

Proving $\Bbb Q[\sqrt 2,\sqrt 3] = \{ a + b\sqrt{2} + c\sqrt 3 + d\sqrt 6\ \!: a,b,c,d\in \Bbb Q\}$

Published on 11 Mar 2014 - 22:01

score 1.1k · Answer 13 · 2026-04-13 05:17:23

1.1k

Views

Is there a (f.g., free) module isomorphic to a quotient of itself?

Published on 13 Apr 2026 - 5:17

score 2.3k · Answer 14 · 2026-04-09 04:27:28

2.3k

Views

Maximal and prime ideals of $\mathbb{Z} \times \mathbb{Z}$

Published on 09 Apr 2026 - 4:27

score 149 · Answer 15 · 2026-03-31 10:09:04

149

Views

Simple $R$-module

Published on 31 Mar 2026 - 10:09

List Question

If $R[x]=R \oplus \langle x \rangle \oplus \langle x^2 \rangle \oplus \cdots $ is a grading of $R[x]$, and $r \in R$, then where does $rx$ belong?

Ideals of a ring/semiring

Showing that two ideals are equivalent.

On a ring $R$ such that every subring of $R$ is an ideal .

Induced homomorphism between two quotients

Chinese remainder theorem does not hold in non commutative case

Simple question about ideals and quotient rings

Definition of finitely presented $R$-module

Product of nonzero ideals in a connected ring

associated $\mathbb{C}[t]$- module is cyclic iff cyclic vector exists

Notation Question regarding Ring-mod-Number and Ring-mod-Some Kernel

Proving $\Bbb Q[\sqrt 2,\sqrt 3] = \{ a + b\sqrt{2} + c\sqrt 3 + d\sqrt 6\ \!: a,b,c,d\in \Bbb Q\}$

Is there a (f.g., free) module isomorphic to a quotient of itself?

Maximal and prime ideals of $\mathbb{Z} \times \mathbb{Z}$

Simple $R$-module

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