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Algebraic overshear density property. [PDF]
Andrist RB, Kutzschebauch F.
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Applications of representation theory and of explicit units to Leopoldt's conjecture. [PDF]
Ferri F, Johnston H.
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On the Replicas of Nilpotent Matrices
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On the Meaning of De-Excitations in Time-Dependent Density Functional Theory Computations. [PDF]
Plasser F.
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On the Weierstraß form of infinite-dimensional differential algebraic equations. [PDF]
Erbay M, Jacob B, Morris K.
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A Gentle Introduction to Lattice Field Theory. [PDF]
Seiler E.
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On the Nilpotent Commutator of a Nilpotent Matrix [PDF]
We study the structure of the nilpotent commutator $\nb$ of a nilpotent matrix $B$. We show that $\nb$ intersects all nilpotent orbits for conjugation if and only if $B$ is a square--zero matrix. We describe nonempty intersections of $\nb$ with nilpotent orbits in the case the $n \times n$ matrix $B$ has rank $n-2$.
Polona Oblak
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Nilpotent polynomials and nilpotent coefficients
Journal of Algebra, 2022Many mathematicians believe that Köthe conjecture is one of the hardest problem in mathematics. It was started in 1930 and it is still open until now. Some reformulations of the Köthe conjecture were found by many prominent authors. The Köthe conjecture is also equivalent to the condition, for any ring \(R\), the Jacobson radical of \(R[x]\) consists ...
Thomas L. Draper +2 more
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