Results 11 to 20 of about 96,933 (288)

Ricci-flat and Einstein pseudoriemannian nilmanifolds

open access: yesComplex Manifolds, 2019
This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
doaj   +2 more sources

Chimera state in coupled map lattice of matrices

open access: yesLietuvos Matematikos Rinkinys, 2021
In recent years, a lot of research has focused on understanding the behavior of when synchronous and asynchronous phases occur, that is, the existence of chimera states in various networks.
Kotryna Mačernytė, Rasa Šmidtaitė
doaj   +1 more source

NILPOTENT SUBSPACES AND NILPOTENT ORBITS [PDF]

open access: yesJournal of the Australian Mathematical Society, 2018
Let $G$ be a semisimple complex algebraic group with Lie algebra $\mathfrak{g}$. For a nilpotent $G$-orbit ${\mathcal{O}}\subset \mathfrak{g}$, let $d_{{\mathcal{O}}}$ denote the maximal dimension of a subspace $V\subset \mathfrak{g}$ that is contained in the closure of ${\mathcal{O}}$.
Dmitri I. Panyushev, Oksana Yakimova
openaire   +4 more sources

Semi Nilpotent Elements [PDF]

open access: yesEurasian Journal of Science and Engineering, 2017
In this paper we study semi nilpotent elements in rings. It is shown that every element of Z nwhere n is square free is a trivial semi nilpotent. It is proved that every nontrivial nilpotent element is a nontrivial semi nilpotent.
Kurdistan M. Ali , Parween A. Hummadi
doaj   +1 more source

Commutative Medial Near Ring

open access: yesRatio Mathematica, 2023
We deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with.
Dhivya C, Radha D
doaj   +1 more source

The algebraic and geometric classification of nilpotent binary Lie algebras [PDF]

open access: yesInternational journal of algebra and computation, 2019
We give a complete algebraic classification of nilpotent binary Lie algebras of dimension at most 6 over an arbitrary field of characteristic not 2 and a complete geometric classification of nilpotent binary Lie algebras of dimension 6 over [Formula: see
H. Abdelwahab   +2 more
semanticscholar   +1 more source

Skew left braces of nilpotent type [PDF]

open access: yesProceedings of the London Mathematical Society, 2018
We study series of left ideals of skew left braces that are analogs of upper central series of groups. These concepts allow us to define left and right nilpotent skew left braces.
F. Cedó, A. Smoktunowicz, L. Vendramin
semanticscholar   +1 more source

On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4 [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
Purpose – The purpose of this paper is to determine the structure of nilpotent (n+6)-dimensional n-Lie algebras of class 2 when n≥4. Design/methodology/approach – By dividing a nilpotent (n+6)-dimensional n-Lie algebra of class 2 by a central element ...
Mehdi Jamshidi   +2 more
doaj   +1 more source

Nilpotent graphs with crosscap at most two

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
Let be a commutative ring with identity. The nilpotent graph of , denoted by , is a graph with vertex set , and two vertices and are adjacent if and only if is nilpotent, where .
A. Mallika, R. Kala
doaj   +2 more sources

The algebraic and geometric classification of nilpotent noncommutative Jordan algebras [PDF]

open access: yesJournal of Algebra and its Applications, 2019
We give algebraic and geometric classifications of complex four-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only 18 non-isomorphic nontrivial nilpotent noncommutative Jordan algebras. The
Doston Jumaniyozov   +2 more
semanticscholar   +1 more source

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