Results 11 to 20 of about 1,081 (183)

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

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   +3 more sources

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

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

Nilpotent Groups [PDF]

open access: yesFormalized Mathematics, 2010
Nilpotent Groups This article describes the concept of the nilpotent group and some properties of the nilpotent groups.
Li, Dailu, Liang, Xiquan, Men, Yanhong
openaire   +2 more sources

On Nilpotency and Asymptotic Nilpotency of Cellular Automata [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
We prove a conjecture of P. Guillon and G. Richard by showing that cellular automata that eventually fix all cells to a fixed symbol 0 are nilpotent on S^Z^d for all d. We also briefly discuss nilpotency on other subshifts, and show that weak nilpotency implies nilpotency in all subshifts and all dimensions, since we do not know a published reference ...
openaire   +4 more sources

On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2≤n≤3 [PDF]

open access: yesNeutrosophic Sets and Systems
The objective of this paper is to study the two-fold fuzzy algebra based on n-refined neutrosophic rings for some different special values of n, where we study some of the special elements in the case of two-fold 2-refined neutrosophic ring and 3-refined
Abdallah Shihadeh   +4 more
doaj   +1 more source

Potentially nilpotent patterns and the Nilpotent-Jacobian method

open access: yesLinear Algebra and its Applications, 2012
12 ...
Bergsma, Hannah   +2 more
openaire   +2 more sources

The Enumeration of Jordan′s Normal Form of k-nilpotent Matrices

open access: yesJournal of Harbin University of Science and Technology, 2019
As a kind of special matrices, the nilpotent matrices has good properties. In this paper, we mainly discuss the enumeration problem of the Jordan′s normal form of 4-nilpotent matrix.
CHEN Jian-da, WANG Ping, ZHANG Lu
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

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