Results 91 to 100 of about 931 (215)

A Characterization of Affine Primal Topological Spaces Induced by Nilpotent Matrices

International Journal of Mathematics and Mathematical Sciences
In this article, we prove that an n×n matrix A is nilpotent if and only if there exists an affine primal topology τ for Rn such that the space Rn,τ is both compact and connected.
Ebner Pineda, Luis Mejías, Jorge Vielma
doaj   +1 more source

Nilpotent factorization of matrices [PDF]

, 2010
We show that, with the exception of 2 x 2 nonzero nilpotent matrices, every singular square matrix over an arbitrary field is a product of two nilpotent ...
Sourour, A. R.
core  

T-branes at the limits of geometry

Journal of High Energy Physics, 2017
Singular limits of 6D F-theory compactifications are often captured by T-branes, namely a non-abelian configuration of intersecting 7-branes with a nilpotent matrix of normal deformations.
Lara B. Anderson, Jonathan J. Heckman, Sheldon Katz, Laura P. Schaposnik   +3 more
doaj   +1 more source

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.
openaire   +1 more source

Bases for Coordinate Rings of Conjugacy Classes of Nilpotent Matrices [PDF]

, 1999
A general conjecture is given for an explicit basis of the coordinate ring of the closure of the conjugacy class of a nilpotent matrix. This conjecture is proven when the partition given by the transpose Jordan type of the nilpotent matrix is a hook or ...
Shimozono, Mark, Weyman, Jerzy
core   +1 more source

Symbolic and iterative computation of quasi-filiform nilpotent lie algebras of dimension nine [PDF]

, 2015
This paper addresses the problem of computing the family of two-filiform Lie algebra laws of dimension nine using three Lie algebra properties converted into matrix form properties: Jacobi identity, nilpotence and quasi-filiform property. The interest in
Pérez, M. [0000-0001-9158-4053], Jiménez, E. [0000-0001-6749-4592], Emilio Jiménez, Pérez, F., Mercedes Pérez, Francisco Pérez   +5 more
core   +1 more source

Reduction of Neutrosophic Fuzzy Matrices Using Implication Operator [PDF]

Neutrosophic Sets and Systems
This research explores the reduction of Neutrosophic Fuzzy Matrices (NFMs) and highlights their significant properties, focusing particularly on nilpotent NFMs.
K. Karuppiah, R. Sudharani, R. Ambrose Prabhu, A. Anandan, D. Ramesh, K. Lawrence Mary   +5 more
doaj   +1 more source

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.
openaire   +2 more sources

Jordan Canonical Forms of Commuting Nilpotent Matrices [PDF]

, 2015
https://rdc.reed.edu/v1/resources/76c32bdb-9e40-4271-b706-6a15ce9c6b3b/thumb/128.jpgIn this thesis we study Jordan canonical forms and their relation to pairs of commuting nilpotent matrices.
Melton, Damon
core  

New insights into vector-autoregressive econometric models for core-nilpotent decomposition of the total effect matrix [PDF]

, 2009
This paper pinpoints the role played by the core-nilpotent decomposition of the total effect matrix in detecting the integration order of a vector autoregressive (VAR) econometric model and in establishing closed-form expressions for the coefficients of ...
Zoia, Maria
core