Results 181 to 190 of about 931 (215)

Algorithms for computing with nilpotent matrix groups over infinite domains [PDF]

Journal of Symbolic Computation, 2008
We develop methods for computing with matrix groups defined over a range of infinite domains, and apply those methods to the design of algorithms for nilpotent groups.
A S Detinko, D L Flannery
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

On T-nilpotence of a matrix set

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023
Let R be a ring and I be an arbitrary right T-nilpotent subset of R. In the paper it is proved that in this case the set of all n×n-matrices with entries in I is a right T-nilpotent subset of the ring of n×n-matrices with entries in R, where n 2 N.
openaire   +1 more source

Nilpotent matrices and the minus partial order [PDF]

Quaestiones Mathematicae, 2017
[EN] In this paper, {1}-inverses of a nilpotent matrix as well as matrices above a given nilpotent matrix under the minus partial order are characterized.This paper was partially supported by Universidad Nacional de La Pampa, Facultad de Ingenieria ...
Nestor Thome
exaly   +3 more sources

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., Radchenko, Oksana V.   +1 more
openaire   +1 more source

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.
openaire   +1 more source

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.
openaire   +2 more sources

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, B. Shwetha Shetty, V. Lokesha   +2 more
openaire   +1 more source

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.
openaire   +1 more source

Nilpotent matrix and Singular matrix

International Journal on Science and Technology
The nilopotent matrix and singular matrix same value satisfying by 0.
openaire   +1 more source

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.
openaire   +1 more source