Results 101 to 110 of about 1,530 (213)

The classification of modular Lie superalgebras of type M

open access: yesOpen Mathematics, 2015
The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements.
Ma Lili, Chen Liangyun
doaj   +1 more source

A Characterization of Left Regularity

open access: yesUniversal Journal of Mathematics and Applications, 2019
We show that a zero-symmetric near-ring $N$ is left regular if and only if $N $ is regular and isomorphic to a subdirect product of integral near-rings, where each component is either an Anshel-Clay near-ring or a trivial integral near-ring. We also show
Peter Fuchs
doaj   +1 more source

Zero divisors and nilpotent elements in power series rings

open access: yes, 1971
It is well known that a polynomial f ( X ) f(X) over a commutative ring R R with identity is nilpotent if and only if each coefficient of f ( X )
David E. Fields
core   +1 more source

Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces

open access: yesAbstract and Applied Analysis, 2016
We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
doaj   +1 more source

Hermitian Characteristics Of Nilpotent Elements [PDF]

open access: yes, 2004
We define and study several equivariant stratifications of the isotropy and coisotropy representations of a parabolic subgroup in a complex reductive group.
openaire   +1 more source

On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]

open access: yes, 2004
The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Kevin Bowman   +5 more
core  

On reachable elements and the boundary of nilpotent orbits in simple Lie algebras

open access: yes, 2004
Let g be a simple Lie algebra. An element x∈g is said to be reachable, if it is contained in the commutant of its centraliser. Any reachable element is necessarily nilpotent.
Panyushev, Dmitri I., Panyushev, D.
core   +1 more source

A Note on Nilpotent Jordan Rings

open access: yes, 1987
Let R be a 2-torsion free associative ring with involution. It is shown that if the set S of symmetric elements is nilpotent as a Jordan ring then R is nilpotent.
Wallace S. Martindale
core   +1 more source

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

open access: yesJ Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Conjugacy Classes and Nilpotent Variety of a Reductive Monoid

open access: yes, 1998
We continue in this paper our study of conjugacy classes of a reductive monoid M. The main theorems establish a strong connection with the Bruhat-Renner decomposition of M.
Mohan S. Putcha
core   +1 more source

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