Results 11 to 20 of about 71,809 (229)

Generalized nilpotent braces and nilpotent groups [PDF]

open access: yesInternational Journal of Group Theory, 2023
The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning $\star$-hypercentral and locally $\star$-nilpotent braces are given.
Martyn Dixon   +2 more
doaj   +3 more sources

Nilpotent Fuzzy Subgroups [PDF]

open access: yesMathematics, 2018
In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
Elaheh Mohammadzadeh, Rajab Ali Borzooei
doaj   +3 more sources

Nilpotence Varieties [PDF]

open access: yesAnnales Henri Poincaré, 2021
AbstractWe consider algebraic varieties canonically associated with any Lie superalgebra, and study them in detail for super-Poincaré algebras of physical interest. They are the locus of nilpotent elements in (the projectivized parity reversal of) the odd part of the algebra.
Richard Eager   +2 more
openaire   +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 ${\mathcal{O}}$.
Panyushev, Dmitri I.   +1 more
openaire   +2 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

On the formal power series algebras generated by a vector space and a linear functional [PDF]

open access: yesJournal of Hyperstructures, 2017
Let R be a vector space ( on C) and ϕ be an element of R∗ (the dual space of R), the product r · s = ϕ(r)s converts R into an associative algebra that we denote it by Rϕ.
A. R. Khoddami
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

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

ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS [PDF]

open access: yesKorean Journal of Mathematics, 2013
Summary: Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, introducing the notion of nil-Armendariz rings. Hizem extended the nil-Armendariz property for polynomial rings onto power-series rings, say nil power-serieswise rings.
Kwak, Tai Keun, Lee, Yang
openaire   +2 more sources

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