Question

On the idealizer of the set of elementary wedge products of two vectors in $K^4$, for a field $K$

score 101 · Answer 1 · 2026-03-25 06:39:15

101

Views

On the idealizer of the set of elementary wedge products of two vectors in $K^4$, for a field $K$

Published on 25 Mar 2026 - 6:39

score 302 · Answer 2 · 2018-09-11 15:24:20

302

Views

Find all elements $m$ in $\mathbb{Z}_{42}$ such that $(12)+(m)$ is a proper ideal of $\mathbb{Z}_{42}$.

Published on 11 Sep 2018 - 15:24

score 281 · Answer 3 · 2018-09-13 15:33:26

281

Views

Find the ideals of $M_2(\mathbb{Z}_{12})$ and find their orders.

Published on 13 Sep 2018 - 15:33

score 121 · Answer 4 · 2018-09-13 17:14:07

121

Views

How many homomorphisms from $\frac{\mathbb{Z}[x,y]}{(x^3+y^2-1)}$ to $\frac{\mathbb{Z}}{(7)}$?

Published on 13 Sep 2018 - 17:14

score 61 · Answer 5 · 2018-09-14 15:33:52

61

Views

Show that $PS$ is the smallest ideal of $S$ that contains $h(P)$

Published on 14 Sep 2018 - 15:33

score 277 · Answer 6 · 2018-09-14 20:54:40

277

Views

If $D$ is an integral domain, show $M_n(D)$ is a prime ring

Published on 14 Sep 2018 - 20:54

score 56 · Answer 7 · 2018-09-14 22:51:54

56

Views

Give an example to show that in general $h(P)$ is not an ideal of $S$.

Published on 14 Sep 2018 - 22:51

score 43 · Answer 8 · 2018-09-15 00:51:37

43

Views

Show that if $I\subset R$ is an ideal then $I\subset h^{-1}(IS)$. Give an example in the that inclusion is proper

Published on 15 Sep 2018 - 0:51

score 90 · Answer 9 · 2026-03-26 16:07:13

90

Views

Ideals of $R = R_1 \oplus R_2 \oplus \dots \oplus R_n$

Published on 26 Mar 2026 - 16:07

score 39 · Answer 10 · 2018-09-17 10:56:51

39

Views

I=x-1 J=x+1 ideal of ring Z [x] ,I+J=Z[x]

Published on 17 Sep 2018 - 10:56

score 760 · Answer 11 · 2018-09-17 16:45:54

760

Views

The ring of formal series in a variable $R=k[[x]]$ is a local ring, where the ideal maximal $m$ is the ideal of all series with term independent zero

Published on 17 Sep 2018 - 16:45

score 65 · Answer 12 · 2018-09-20 11:45:04

65

Views

Prove that $ I + J = R \iff b + J $ is invertible in $ R / J$, where $ I = \langle b \rangle$

Published on 20 Sep 2018 - 11:45

score 81 · Answer 13 · 2026-03-28 11:48:15

81

Views

Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

Published on 28 Mar 2026 - 11:48

score 51 · Answer 14 · 2018-09-22 14:16:51

51

Views

Help calculating ideal generated by the union of two ideals

Published on 22 Sep 2018 - 14:16

score 255 · Answer 15 · 2018-09-22 20:11:42

255

Views

Proving various radical ideal containents

Published on 22 Sep 2018 - 20:11

List Question

On the idealizer of the set of elementary wedge products of two vectors in $K^4$, for a field $K$

Find all elements $m$ in $\mathbb{Z}_{42}$ such that $(12)+(m)$ is a proper ideal of $\mathbb{Z}_{42}$.

Find the ideals of $M_2(\mathbb{Z}_{12})$ and find their orders.

How many homomorphisms from $\frac{\mathbb{Z}[x,y]}{(x^3+y^2-1)}$ to $\frac{\mathbb{Z}}{(7)}$?

Show that $PS$ is the smallest ideal of $S$ that contains $h(P)$

If $D$ is an integral domain, show $M_n(D)$ is a prime ring

Give an example to show that in general $h(P)$ is not an ideal of $S$.

Show that if $I\subset R$ is an ideal then $I\subset h^{-1}(IS)$. Give an example in the that inclusion is proper

Ideals of $R = R_1 \oplus R_2 \oplus \dots \oplus R_n$

I=x-1 J=x+1 ideal of ring Z [x] ,I+J=Z[x]

The ring of formal series in a variable $R=k[[x]]$ is a local ring, where the ideal maximal $m$ is the ideal of all series with term independent zero

Prove that $ I + J = R \iff b + J $ is invertible in $ R / J$, where $ I = \langle b \rangle$

Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

Help calculating ideal generated by the union of two ideals

Proving various radical ideal containents

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