Question

Show that if $L$ is a nilpotent $n$-dimensional Lie algebra, then there is an ideal of dimension $n-1$

score 278 · Answer 1 · 2026-03-25 16:20:54

278

Views

Show that if $L$ is a nilpotent $n$-dimensional Lie algebra, then there is an ideal of dimension $n-1$

Published on 25 Mar 2026 - 16:20

score 655 · Answer 2 · 2026-03-29 15:40:30

655

Views

On the maximal ideals of $\Bbb Z_5[X,Y]$ which contain $\langle Y \rangle$

Published on 29 Mar 2026 - 15:40

score 46 · Answer 3 · 2026-03-29 14:59:12

46

Views

Counterexamples where $\sum_i (a_i : b) \subsetneq (\sum_i a_i :b)$ or where $\sum_i (a: b_i) \subsetneq (a : \bigcap_i b_i)$?

Published on 29 Mar 2026 - 14:59

score 269 · Answer 4 · 2026-03-25 17:24:35

269

Views

Constructing rings with a specific lattice of ideals.

Published on 25 Mar 2026 - 17:24

score 80 · Answer 5 · 2026-03-25 20:15:19

80

Views

If $e^2 = e$ in a ring $R$ [not necessarily commutative], then $Re$ is an ideal iff $eR(1-e) = 0$

Published on 25 Mar 2026 - 20:15

score 79 · Answer 6 · 2026-03-25 07:40:48

79

Views

Prove that a homomorphism is surjective

Published on 25 Mar 2026 - 7:40

score 108 · Answer 7 · 2019-06-27 23:00:20

108

Views

normal subgroups VS Ideal(commutative)

Published on 27 Jun 2019 - 23:00

score 156 · Answer 8 · 2026-03-25 06:02:13

156

Views

Proper ideals of local rings

Published on 25 Mar 2026 - 6:02

score 58 · Answer 9 · 2026-03-29 16:20:09

58

Views

For ideals $\mathfrak{a,b}$ if a solution $\mathfrak{c}$ to $\mathfrak{cb}=\mathfrak{a}$ exists, is it unique and equal $(\mathfrak{a}:\mathfrak{b})$?

Published on 29 Mar 2026 - 16:20

score 167 · Answer 10 · 2026-03-25 11:15:04

167

Views

Extension of irreducible ideal is irreducible

Published on 25 Mar 2026 - 11:15

score 42 · Answer 11 · 2019-07-01 10:48:51

42

Views

$R/J \cong (I+J)/J$?

Published on 01 Jul 2019 - 10:48

score 103 · Answer 12 · 2019-07-01 13:39:46

103

Views

What is the principal ideal of $ T \subset X$? In a ring with operations symmetric difference and intersection

Published on 01 Jul 2019 - 13:39

score 130 · Answer 13 · 2019-07-01 14:14:32

130

Views

If $\{0_R\}$ is primary ideal of $R$, then $Nil(R)=D(R)$.

Published on 01 Jul 2019 - 14:14

score 658 · Answer 14 · 2019-07-01 19:29:00

658

Views

Extension of primary ideal in polynomial ring

Published on 01 Jul 2019 - 19:29

score 63 · Answer 15 · 2019-07-02 06:44:39

63

Views

The inclusion relation between Ideals

Published on 02 Jul 2019 - 6:44

List Question

Show that if $L$ is a nilpotent $n$-dimensional Lie algebra, then there is an ideal of dimension $n-1$

On the maximal ideals of $\Bbb Z_5[X,Y]$ which contain $\langle Y \rangle$

Counterexamples where $\sum_i (a_i : b) \subsetneq (\sum_i a_i :b)$ or where $\sum_i (a: b_i) \subsetneq (a : \bigcap_i b_i)$?

Constructing rings with a specific lattice of ideals.

If $e^2 = e$ in a ring $R$ [not necessarily commutative], then $Re$ is an ideal iff $eR(1-e) = 0$

Prove that a homomorphism is surjective

normal subgroups VS Ideal(commutative)

Proper ideals of local rings

For ideals $\mathfrak{a,b}$ if a solution $\mathfrak{c}$ to $\mathfrak{cb}=\mathfrak{a}$ exists, is it unique and equal $(\mathfrak{a}:\mathfrak{b})$?

Extension of irreducible ideal is irreducible

$R/J \cong (I+J)/J$?

What is the principal ideal of $ T \subset X$? In a ring with operations symmetric difference and intersection

If $\{0_R\}$ is primary ideal of $R$, then $Nil(R)=D(R)$.

Extension of primary ideal in polynomial ring

The inclusion relation between Ideals

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