Results 81 to 90 of about 1,586,511 (197)
On Finite Nilpotent Matrix Groups over Integral Domains [PDF]
ISRN Algebra, 2013 We consider finite nilpotent groups of matrices over commutative rings. A general result concerning the diagonalization of matrix groups in the terms of simple conditions for matrix entries is proven. We also give some arithmetic applications for representations over Dedekind rings.
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Reduction of Neutrosophic Fuzzy Matrices Using Implication Operator [PDF]
Neutrosophic Sets and SystemsThis research explores the reduction of Neutrosophic Fuzzy Matrices (NFMs) and highlights their significant properties, focusing particularly on nilpotent NFMs.
K. Karuppiah +5 more
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NILPOTENTS ZERO DIVISORS OF A MULTIDIMENSIONAL MATRIX
, 2022 In this article, the necessary conditions for nilpotency of matrices of three and higher dimensions are studied. In addition, its application to quadratic stochastic operators is presented.
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Finite Matrix Groups over Nilpotent Group Rings
Journal of Algebra, 1996 Let \(\mathbb{Z} H\) be the integral group ring of a group \(H\). The authors study the group \(\text{SGL}_n(\mathbb{Z} H)\) of matrices of augmentation one over the group ring \(\mathbb{Z} H\), and relate the torsion of \(\text{SGL}_n(\mathbb{Z} H)\) to the torsion of \(H\).
Marciniak, Zbigniew S. +1 more
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On n-quasi- [m,C] $[m,C]$-isometric operators
Journal of Inequalities and Applications, 2019 For positive integers m and n, an operator T∈B(H) $T \in B ( H )$ is said to be an n-quasi- [m,C] $[m,C]$-isometric operator if there exists some conjugation C such that T∗n(∑j=0m(−1)j(mj)CTm−jC.Tm−j)Tn=0 . In this paper, some basic structural properties
Junli Shen
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Quick design of feasible tensor networks for constrained combinatorial optimization [PDF]
QuantumQuantum computers are expected to enable fast solving of large-scale combinatorial optimization problems. However, their limitations in fidelity and the number of qubits prevent them from handling real-world problems.
Hyakka Nakada +2 more
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Subspaces Fixed by a Nilpotent Matrix
, 2023 The linear spaces that are fixed by a given nilpotent $n \times n$ matrix form a subvariety of the Grassmannian. We classify these varieties for small $n$.
Sturmfels, Bernd +3 more
core
Potentially nilpotent patterns and the Nilpotent-Jacobian method [PDF]
, 2012 A nonzero pattern is a matrix with entries in {0,∗}. A pattern is potentially nilpotent if there is some nilpotent real matrix with nonzero entries in precisely the entries indicated by the pattern. We develop ways to construct some potentially nilpotent
Bergsma, Hannah +5 more
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On Nilpotent Elements and Armendariz Modules
MathematicsFor a left module MR over a non-commutative ring R, the notion for the class of nilpotent elements (nilR(M)) was first introduced and studied by Sevviiri and Groenewald in 2014 (Commun. Algebra, 42, 571–577).
Nazeer Ansari +4 more
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Algorithm to compute minimal matrix representation of nilpotent lie algebras
International Journal of Computer Mathematics, 2019 As it is well-known there exist matrix representations of any given finite-dimensional complex Lie algebra. More concretely, such representations can be obtained by means of an isomorphic matrix Lie algebra consisting of upper-triangular square matrices.
Ceballos González, Manuel +2 more
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