Results 51 to 60 of about 1,062 (223)
Unit-Regularity of Regular Nilpotent Elements [PDF]
In the revision some typos are corrected, minor modifications are made and also references to two related papers are added.
openaire +3 more sources
Rigidity Phenomena of Group Actions on a Class of Nilmanifolds and Anosov R^n Actions [PDF]
An action of a group Г on a manifold M is a homomorphism ρ from Г to Diff(M). ρo is locally rigid if the nearby homomorphism ρ, ρ(γ) = h o ρ0, (γ) 0h^(-1) for some h Є Diff(M) and for all, γ Є Г.
Qian, Nantian
core +1 more source
A Remark on Quadrics in Projective Klingenberg Spaces over a Certain Local Algebra
This article is devoted to some polar properties of quadrics in the projective Klingenberg spaces over a local ring which is a linear algebra generated by one nilpotent element.
Marek Jukl
doaj +1 more source
Lipschitz groups and Lipschitz maps [PDF]
This contribution mainly focuses on some aspects of Lipschitz groups, i.e., metrizable groups with Lipschitz multiplication and inversion map. In the main result it is proved that metric groups, with a translation-invariant metric, may be ...
Laurent Poinsot
doaj +1 more source
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
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
A *-ring R is called a medium *-clean ring if every element in R is the sum or difference of a nilpotent with a projection that commute. Fundamenta properties of such *-rings are obtained.
ZHANG Xixi; WU Jun
doaj +1 more source
The Natural Components of a Regular Linear System
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
A Jordan canonical form for nilpotent elements in an arbitrary ring. [PDF]
https://v2.sherpa.ac.uk/id/publication/16712In this paper we give an inductive new proof of the Jordan canonical form of a nilpotent element in an arbitrary ring. If is a nilpotent element of index n with von Neumann regular , we decompose with
Gómez-Lozano, Miguel Ángel +3 more
core +1 more source
Limit Cycles and Integrability in a Class of Systems with High-Order Nilpotent Critical Points
A class of polynomial differential systems with high-order nilpotent critical points are investigated in this paper. Those systems could be changed into systems with an element critical point.
Feng Li, Jianlong Qiu
doaj +1 more source

