Results 101 to 110 of about 16,276 (205)
Special MatricesA 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
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Two-sided essential nilpotence
International 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
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, 2010 Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
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Nuclear Physics BWithin 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
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Geometrically nilpotent subvarieties
Finite 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.
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Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
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Spreads and nilpotence class in nilpotent groups and Lie algebras
Journal of Algebra, 2015 For a non-abelian finite \(p\)-group \(G\), let \(p^{b(G)}\) be the maximum, and \(p^{s(G)}\) the minimum, of sizes of conjugacy classes of non-central elements of \(G\). The number \(\delta=\delta(G)=b(G)-s(G)\) is called the spread of \(G\). \textit{A. Jaikin-Zapirain} proved [Proc. Am. Math. Soc. 133, No.
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On the Convergence Rate of the Caputo Fractional Difference Logistic Map of Nilpotent Matrices
Fractal and FractionalThe 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
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, 1987 The space of sections of a fibration is nilpotent provided the base is finite C W CW -complex and the fiber is nilpotent. Moreover, localization commutes with the formation of section spaces.
Jesper Michael Møller
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Actions of nilpotent groups on nilpotent groups
Glasgow Mathematical JournalAbstractFor finite nilpotent groups $J$ and $N$ , suppose $J$ acts on $N$ via automorphisms. We exhibit a decomposition of the first cohomology set in terms of the first cohomologies of the Sylow $p$ -subgroups of $J$ that mirrors the primary decomposition of $H^1(J,N)$ for abelian $N$ .
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