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DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS

Journal of Algebra and Its Applications, 2010
Derivations of the ring of all finitary niltriangular matrices over an arbitrary associative ring with identity for any chain of matrix indices are described. Every Lie or Jordan derivation is a derivation of this ring modulo third hypercenter.
Levchuk, Vladimir M.   +1 more
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Reduction of a nilpotent fuzzy matrix

Information Sciences, 1982
Abstract A problem of reducing fuzzy matrices is considered, and some results are obtained with regard to nilpotent matrices. First reduction of irreflexive and transitive matrices is examined and then the results are applied to nilpotent matrices.
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On the graph of nilpotent matrix group of length one

Discrete Mathematics, Algorithms and Applications, 2016
In this paper we construct a Cayley graph for multiplicative group of upper unitriangular [Formula: see text] matrices over [Formula: see text] mod [Formula: see text]. Also we find some topological indices, diameter, girth, spectra and energy of adjacency, Laplacian, normalized Laplacian and signless Laplacian matrix of the same graph.
C. Kanta Gupta   +2 more
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ON THE MAXIMAL NILPOTENT ORBIT THAT INTERSECTS THE CENTRALIZER OF A MATRIX

Transformation Groups, 2022
Let \(k\) be an infinite field and \(n\) be a natural number. Suppose that \(P\) is a partition of \(n\) and \(B\) is the nilpotent Jordan matrix whose Jordan block sizes correspond to parts of \(P\). The nilpotent commutator of \(B\), denoted by \(\mathcal{N}_B\), is known to be an irreducible variety.
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On a matrix nilpotent filter

Mathematical Notes, 2012
We define two families of homogeneous ideals of the algebra of polynomials generated by power entries of the general matrix and its operator invariants. We study the combinatorial characteristics of these ideals and, in greater detail, the case of second order.
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Nilpotent matrix and Singular matrix

International Journal on Science and Technology
The nilopotent matrix and singular matrix same value satisfying by 0.
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Nilpotent matrix and Hermitian matrix

International Journal on Science and Technology
Nilpotent and Hermitian matrices are two important classes of matrices with distinct properties. A nilpotent matrix is a square matrix that, when raised to some power, becomes the zero matrix. A Hermitian matrix, on the other hand, is a square matrix that is equal to its conjugate transpose.
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Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix

Journal of Mathematical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petrov, F. V., Sokolov, V. V.
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On the max-nilpotent t-norm powers of a fuzzy matrix

Fuzzy Sets and Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chia-Cheng Liu   +2 more
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Commutative nilpotent matrix subalgebras.

1973
This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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