Let $\frak{g}$ a nilpotent Lie álgebra. Prove that there is an ideal $\frak{h}\subseteq\frak{g}$ such that $\dim(\frak{g}) = \dim(\frak{h}) + 1$
50236
Solvable Lie algebra with codimension 1 ideal
16602
Proving $M_n(I)\lhd M_n(R)$ and proofs about ideal rings.
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
33423
Decomposition of semisimple Lie algebra via its roots
144250
subideals of an ideal
151786
Proving that there is no ideal $I$ in $\mathbb{Z}[t]$ such that $\mathbb{Z}[t]/I \cong \mathbb{Q}$
60663
Let $\rho$ f.d. rep of a nilpotent Lie algebra such that $\rm{det} \rho(X) = 0$, $\forall X$. Then $\exists v \neq 0$: $\rho(X)v = 0, \forall X$.
18198
Lang Algebra Chapter 6 Theorem 9.4
96770
Explicit isomorphism between the four dimensional orthogonal Lie algebra and the direct sum of special linear Lie algebras of dimension 3.
109688
Zero-dimensional ideals and finite-dimensional algebras
45310
If $H\leq Z (G)$ and $G/H$ is nilpotent, then $G$ is nilpotent.
107594
Lie bracket for Lie algebra of $SO(n,m)$
67944
Nilpotent Elements and Intersection of Prime Ideals
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
25748
If $G / Z(G)$ nilpotent then G is nilpotent.
13346
If $A=AB-BA$, is $A$ nilpotent?
146714
Rees algebra of a monomial ideal