Results 121 to 130 of about 86,239 (234)

Free nilpotent and nilpotent quadratic Lie algebras

open access: yesLinear Algebra and its Applications, 2017
In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear forms on the t-nilpotent free Lie algebra with d generators. Taking into account this equivalence, t-nilpotent quadratic Lie algebras with d generators are classified (up to ...
P. Benito   +2 more
openaire   +2 more sources

A note on the normalizer of Sylow 2-subgroup of special linear group $SL_2(p^f)$ [PDF]

open access: yesInternational Journal of Group Theory, 2014
Let $G=SL_2(p^f)$ be a special linear group and $P$ be a Sylow $2$-subgroup of $G$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. By $N_G(P)$ we denote the normalizer of $P$ in $G$.
Jiangtao Shi
doaj  

Nilpotency property, physicality criteria, constraints and standard BRST algebra: A 4D field-theoretic system

open access: yesNuclear Physics B
Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the off-shell nilpotent (anti-)BRST and the bosonic ghost-scale symmetries of a set of coupled (but equivalent) Lagrangian densities for the four (3 + 1)-dimensional (4D ...
R.P. Malik
doaj   +1 more source

Geometrically nilpotent subvarieties

open access: yesFinite Fields and Their Applications, 2018
We construct some examples of polynomial maps over finite fields that admit subvarieties with a peculiar property: every geometric point is mapped to a fixed point by some iteration of the map, while the whole subvariety is not. Several related open questions are stated and discussed.
openaire   +3 more sources

Two-sided essential nilpotence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
An ideal I of a ring A is essentially nilpotent if I contains a nilpotent ideal N of A such that J⋂N≠0 whenever J is a nonzero ideal of A contained in I. We show that each ring A has a unique largest essentially nilpotent ideal EN(A).
Esfandiar Eslami, Patrick Stewart
doaj   +1 more source

Nilpotent S-Derivations

open access: yesIndagationes Mathematicae (Proceedings), 1968
AbstractThe structure of fields with nilpotent S-derivations is investigated. General basis theorems are obtained, illustrated with several examples.
openaire   +2 more sources

Some nilpotent and locally nilpotent matrix groups

open access: yesJournal of Pure and Applied Algebra, 1989
The task of the paper under review is a detailed discussion of nilpotent and locally nilpotent matrix groups over ``special'' division rings. The notion of a ``special'' division ring is introduced by the author and denotes a division ring D with the following property: For every finite subset X of D and every finite subset Y of the subring R of D ...
openaire   +1 more source

1-Sylvester matrices

open access: yesSpecial Matrices
A nonzero element aa is called 1-Sylvester in a ring RR, if there exist b,c∈Rb,c\in R such that 1=ab+ca1=ab+ca. In this article, we study such elements, mainly in matrix rings over commutative rings.
Călugăreanu Grigore
doaj   +1 more source

On the Convergence Rate of the Caputo Fractional Difference Logistic Map of Nilpotent Matrices

open access: yesFractal and Fractional
The convergence rate of the Caputo fractional difference logistic map of nilpotent matrices is investigated in this paper. The divergence rate of the auxiliary parameters governing the dynamics of nilpotents is exponential and is multiple to the Lyapunov
Rasa Smidtaite   +3 more
doaj   +1 more source

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