Results 51 to 60 of about 931 (215)

Nilpotent control systems [PDF]

open access: yes, 2002
We study the class of matrix controlled systems associated to graded filiform nilpotent Lie algebras. This generalizes the nonlinear system corresponding to the control of the trails pulled by car.We study the class of matrix controlled systems ...
Remm, Elisabeth, Goze, Michel
core   +2 more sources

A birational description of the minimal exponent

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley   +1 more source

Singular M-matrices which may not have a nonnegative generalized inverse

open access: yesSpecial Matrices, 2014
A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bthave ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative.
Sushama Agrawal N.   +2 more
doaj   +1 more source

Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices

open access: yesEntropy, 2019
Complex networks of coupled maps of matrices (NCMM) are investigated in this paper. It is shown that a NCMM can evolve into two different steady states—the quiet state or the state of divergence.
Rasa Smidtaite   +2 more
doaj   +1 more source

The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix [PDF]

open access: yesJournal of Pure and Applied Algebra, 2014
Let $k$ be an infinite field. Fix a Jordan nilpotent $n$ by $n$ matrix $B = J_P$ with entries in $k$ and associated Jordan type $P$. Let $Q(P)$ be the Jordan type of a generic nilpotent matrix commuting with $B$. In this paper, we use the combinatorics of a poset associated to the partition $P$, to give an explicit formula for the smallest part of $Q(P)
openaire   +3 more sources

Derivations as algebras

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
wiley   +1 more source

Heights on ‘hybrid orbits’ in Shimura varieties

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

On nilpotent incline matrices [PDF]

open access: yes, 2005
Inclines are additively idempotent semirings in which products are less than or equal to either factor. Thus they generalize Boolean algebra, fuzzy algebra and distributive lattice. This paper studies the nilpotent incline matrices in detail.
Li, Hong-Xing   +2 more
core   +1 more source

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

open access: yesMathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río   +2 more
wiley   +1 more source

On simultaneously nilpotent fuzzy matrices [PDF]

open access: yes, 2003
Nilpotent fuzzy matrices play a crucial role in the study of fuzzy matrices. In this paper, we shall extend the nilpotence to the notion of simultaneous nilpotence for a finite set of fuzzy matrices.
Pang, Chin-Tzong   +2 more
core   +1 more source

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