query: A basis for a nilpotent endomorphism
positive_passages.docid: 154142
positive_passages.text: Finding a specific basis for an endomorphism
negative_passages.docid: 39657
negative_passages.text: Strictly Upper Triangular $n\times n$ Matrices form a Nilpotent Lie Algebra over $\mathbb{C}$ for $n\geq 2$
negative_passages.docid: 133046
negative_passages.text: Showing $[L,rad(L)]$ is nilpotent.
negative_passages.docid: 12474
negative_passages.text: Does an injective endomorphism of a finitely-generated free R-module have nonzero determinant?
negative_passages.docid: 124003
negative_passages.text: Composition of adjoint functors
negative_passages.docid: 69694
negative_passages.text: Classify orbits of conjugating action on $GL_2(\mathbb{C})$
negative_passages.docid: 86224
negative_passages.text: The root system of $sl(3,\mathbb C)$
negative_passages.docid: 158892
negative_passages.text: Surjective endomorphism of abelian group is isomorphism
negative_passages.docid: 56097
negative_passages.text: If $A$ and $AB-BA$ commute, show that $AB-BA$ is nilpotent
negative_passages.docid: 121244
negative_passages.text: Homomorphisms and automorphisms on polynomial rings
negative_passages.docid: 82310
negative_passages.text: Epimorphisms from a free group onto a free group
negative_passages.docid: 39788
negative_passages.text: $a+1,a-1$ invertible for nilpotent element
negative_passages.docid: 91222
negative_passages.text: Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
negative_passages.docid: 66866
negative_passages.text: Algebraic dual of $\mathbb{R}^{\mathbb{N}}$
negative_passages.docid: 67842
negative_passages.text: Solvable equivalent to nilpotency of first derived Lie algebra?
negative_passages.docid: 117482
negative_passages.text: Lifting idempotents modulo a nilpotent ideal
negative_passages.docid: 17378
negative_passages.text: Characterize finite dimensional algebras without nilpotent elements