NILPOTENCE

作品数：5被引量：1H指数：1
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相关领域：理学更多>>
相关作者：洪平洲更多>>
相关机构：赣南师范大学更多>>
相关期刊：《Algebra Colloquium》《Journal of Mathematical Research with Applications》《Chinese Quarterly Journal of Mathematics》更多>>
相关基金：国家自然科学基金更多>>
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The Nilpotent-Centralizer Methods被引量：1
《Journal of Mathematical Research with Applications》2014年第5期597-607,共11页Yubin GAO Yanling SHAO 
National Natural Science Foundation of China(Grant No.11071227);Shanxi Scholarship Councilof China(Grant No.12-070)
An n × n complex sign pattern （ray pattern） S is said to be spectrally arbitrary if for every monic nth degree polynomial f（λ） with coefficients from C, there is a complex matrix in the complex sign pattern cla...
关键词：complex sign pattern ray pattern spectrally arbitrary pattern nilpotence. 
On the Strong Nilpotence Problem
《Algebra Colloquium》2014年第1期117-128,共12页Xiaosong Sun 
In this paper, we describe the structure of quadratic homogeneous polynomial maps F = X ＋ H with JH3 = 0. As a consequence we show that in dimension n ≤ 6, JH is strongly nilpotent, or equivalently F = X ＋ H is lin...
关键词：polynomial maps tame automorphisms strongly nilpotent linearly triangu-larizable 
The Nilpotency of Lie Triple Algebras
《Chinese Quarterly Journal of Mathematics》2005年第4期423-429,共7页WANG Gui-dong 
Supported by NKBRPC(2004CB31800);Supported by NNSFC(10375087)
In this paper, we mainly concerned about the nilpotence of Lie triple algebras.We give the definition of nilpotence of the Lie triple algebra and obtained that if Lie triplealgebra is nilpotent, then its standard enve...
关键词：Lie triple algebra SOLVABILITY NILPOTENCE 
On the Nilpotence of Malcev Algebras
《Northeastern Mathematical Journal》2005年第1期81-86,共6页张知学 冯建强 
The NSF (199100) of Hebei Province.
We investigate the nilpotence of a Malcev algebra M and of its standard enveloping Lie algebra L(M) = M(?)D(M, M). The main result shows that an ideal A of M is nilpotent in M if and only if the corresponding ideal I(...
关键词：Malcev algebra enveloping Lie algebra NILPOTENCE 
关于环的K(?)the猜测和Nil—Nilpotence问题
《赣南师范学院学报》1991年第3期15-21,共7页洪平洲 
本文通过特殊左零化子集极大元条件,研究了环的K(?)the猜测和Nil Nilpoemce问题,得到了广泛的结果,环论中众多熟知结论已成为本文结果的特例。
关键词：环 Koethe猜测 幂零 诣零 
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