Results 11 to 20 of about 1,009 (164)
Generalized nilpotent braces and nilpotent groups [PDF]
International 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
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Annales 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
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NILPOTENT SUBSPACES AND NILPOTENT ORBITS [PDF]
Journal 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
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ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS [PDF]
Korean 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
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Perfect Nilpotent Graphs [PDF]
Kragujevac Journal of Mathematics, 2021 Let R be a commutative ring with identity. The nilpotent graph of R, denoted by ΓN(R), is a graph with vertex set ZN(R)∗, and two vertices x and y are adjacent if and only if xy is nilpotent, where ZN(R) = {x ∈ R∣xy is nilpotent, for some y ∈ R∗}. A perfect graph is a graph in which the chromatic number of every induced subgraph equals the size of the ...
Nikmehr, M. J., Azadi, A.
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Journal of Algebra, 2005 In this technical paper, the authors develop precise results on the index of nilpotence of a derivation \(D\) of a semiprime ring \(R\) with characteristic, and also on a related index defined by the ideals of \(R\). Let \(R\) be a semiprime ring with characteristic zero or a prime, \(Q\) the symmetric Martindale quotient ring of \(R\), \(C\) the ...
Chuang, Chen-Lian, Lee, Tsiu-Kwen
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Pacific Journal of Mathematics, 1995 Let \(\pi\) be a set of primes, and let \(G\) be a finite \(\pi\)-separable group. Isaacs has defined a canonical basis \(I_\pi(G)\) for the vector space of class functions on the set of \(\pi\)-elements in \(G\). The author calls an element \(\varphi\in I_\pi(G)\) nilpotent if \(\varphi\) is induced from an element \(\delta\in I_\pi(K)\) where \(K ...
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Towards semi-classical analysis for sub-elliptic operators
Bruno Pini Mathematical Analysis Seminar, 2022 We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators.
Véronique Fischer
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Математичні Студії, 2021 We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
Journal of Mathematics, 2022 In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
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