Question

$R$ is commutative ring with unity, prove $I,J\trianglelefteq R \wedge I+J=R \Rightarrow IJ=I\cap J$

score 288 · Answer 1 · 2018-12-12 12:40:05

288

Views

$R$ is commutative ring with unity, prove $I,J\trianglelefteq R \wedge I+J=R \Rightarrow IJ=I\cap J$

Published on 12 Dec 2018 - 12:40

score 206 · Answer 2 · 2018-12-12 14:53:36

206

Views

Find all ideals of the ring $M = \left\{ \left( \begin{smallmatrix} a & b \\ 2b & a \end{smallmatrix} \right) : a,b \in \Bbb{Q} \right\}$

Published on 12 Dec 2018 - 14:53

score 109 · Answer 3 · 2018-12-12 19:34:25

109

Views

When $\langle F(x,y)y+u(x)(x-c), G(x,y)y+v(x)(x-c) \rangle$ is a maximal ideal of $\mathbb{C}[x,y]$?

Published on 12 Dec 2018 - 19:34

score 795 · Answer 4 · 2018-12-13 09:02:00

795

Views

I want to know how to prove ideal

Published on 13 Dec 2018 - 9:02

score 113 · Answer 5 · 2018-12-13 15:07:49

113

Views

When $\langle f(x),y \rangle$ is a radical ideal?

Published on 13 Dec 2018 - 15:07

score 317 · Answer 6 · 2026-03-28 13:40:16

317

Views

Example of a ring with no minimal prime ideal

Published on 28 Mar 2026 - 13:40

score 322 · Answer 7 · 2026-03-25 20:34:07

322

Views

Isomorphisms for rings modulo ideals

Published on 25 Mar 2026 - 20:34

score 218 · Answer 8 · 2026-03-25 17:25:07

218

Views

lifting orthogonal idempotents (induction step)

Published on 25 Mar 2026 - 17:25

score 90 · Answer 9 · 2018-12-16 21:22:06

90

Views

If $\langle A,B \rangle =\langle C,D \rangle$, then $\langle A-\lambda,B-\mu \rangle = $?

Published on 16 Dec 2018 - 21:22

score 22 · Answer 10 · 2018-12-17 19:41:20

22

Views

ring theory and ideals of them

Published on 17 Dec 2018 - 19:41

score 503 · Answer 11 · 2018-12-17 20:12:46

503

Views

When is a Quotient Ring equal to the Zero Ring?

Published on 17 Dec 2018 - 20:12

score 562 · Answer 12 · 2018-12-20 05:45:25

562

Views

Questions on a proof that $\mathbb F_2[x]/(x^2-1)$ and $\mathbb F_2[x]/(x^2)$ are isomorphic.

Published on 20 Dec 2018 - 5:45

score 45 · Answer 13 · 2018-12-20 06:37:04

45

Views

Heuristic in quotient rings with linear relations?

Published on 20 Dec 2018 - 6:37

score 50 · Answer 14 · 2018-12-20 16:59:23

50

Views

Ideal of K[x,y], need for some precisions.

Published on 20 Dec 2018 - 16:59

score 133 · Answer 15 · 2018-12-21 02:16:31

133

Views

If $xR=I$ we can say that $x\in I$?

Published on 21 Dec 2018 - 2:16

List Question

$R$ is commutative ring with unity, prove $I,J\trianglelefteq R \wedge I+J=R \Rightarrow IJ=I\cap J$

Find all ideals of the ring $M = \left\{ \left( \begin{smallmatrix} a & b \\ 2b & a \end{smallmatrix} \right) : a,b \in \Bbb{Q} \right\}$

When $\langle F(x,y)y+u(x)(x-c), G(x,y)y+v(x)(x-c) \rangle$ is a maximal ideal of $\mathbb{C}[x,y]$?

I want to know how to prove ideal

When $\langle f(x),y \rangle$ is a radical ideal?

Example of a ring with no minimal prime ideal

Isomorphisms for rings modulo ideals

lifting orthogonal idempotents (induction step)

If $\langle A,B \rangle =\langle C,D \rangle$, then $\langle A-\lambda,B-\mu \rangle = $?

ring theory and ideals of them

When is a Quotient Ring equal to the Zero Ring?

Questions on a proof that $\mathbb F_2[x]/(x^2-1)$ and $\mathbb F_2[x]/(x^2)$ are isomorphic.

Heuristic in quotient rings with linear relations?

Ideal of K[x,y], need for some precisions.

If $xR=I$ we can say that $x\in I$?

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