共查询到19条相似文献,搜索用时 125 毫秒
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幂等右侧Quantale上的幂零矩阵 总被引:2,自引:0,他引:2
讨论幂等右侧Quantale上的幂零矩阵的若干性质,给出了幂等右侧Quantale上的矩阵为幂零矩阵的充要条件,得到了幂零矩阵的幂零指数的刻画定理。 相似文献
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设(L, ,·)是一个incline. 本文给出了一个incline上幂零矩阵幂零指标的特征.其结果改进了文[4]中的相应结论. 相似文献
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我们讨论了p-幂零限制李超代数的一些性质,分别给出了p-幂零和幂零限制李超代数的几个充分必要条件,并讨论了幂零与p-幂零之间的关系.最后,证明了幂零限制李超代数的一些性质. 相似文献
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在特征零的代数闭域F上,利用3维和4维幂零李代数的分类,通过计算刻画了3维和4维幂零李代数的Yang-Baxter算子. 相似文献
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在复数域C上,利用三维幂零李超代数的分类,通过计算刻画了三维幂零李超代数的Yang-Baxter算子. 相似文献
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求出了(n-3)-filiform李代数的极大环面,并证明了(n-3)-filiform李代数是可完备化的. 相似文献
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Manuela Busaniche 《Mathematical Logic Quarterly》2006,52(3):219-236
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《代数通讯》2013,41(4):1259-1277
ABSTRACT We study the varieties of Lie algebra laws and their subvarieties of nilpotent Lie algebra laws. We classify all degenerations of (almost all) five-step and six-step nilpotent seven-dimensional complex Lie algebras. One of the main tools is the use of trivial and adjoint cohomology of these algebras. In addition, we give some new results on the varieties of complex Lie algebra laws in low dimension. 相似文献
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Hiroshi Hashimoto 《Discrete Applied Mathematics》1984,8(1):51-61
Boolean matrices are widely used in many fields, and the theory of boolean matrices is related to the algebra of relations, switching theory, and graph theory. First some basic properties of nilpotent matrices are shown in the paper. A nilpotent boolean matrix plays an important role in the theory of boolean matrices. The purpose is to present those properties of boolean matrices which are related to finding the transitive reduction of a nilpotent matrix, or an acyclic graph. 相似文献
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两类幂零的n-Lie代数 总被引:4,自引:1,他引:3
本文提出并构造了两类幂零的n-Lie代数:特征幂零的n-Lie代数与最大秩的幂零的n-Lie代数.证明了n-Lie代数是特征幂零的n-Lie代数的充分必要条件,以及最大秩的幂零的n-Lie代数的结构特征. 相似文献
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Bernd Schmeikal 《Advances in Applied Clifford Algebras》2006,16(2):159-165
The idempotent sets in sufficiently sophisticated algebras form manifolds and Hausdorff spaces. In this paper it is shown
how the idempotents in a real Clifford algebra Clp,q can be calculated by nilpotents and reflections. Minimal sets of nilpotents are given and generating relations are defined.
It is shown that the manifold thus constructed is complete. Every idempotent in the manifold can be calculated in the way
proposed here, namely by a nilpotent multinomial form. 相似文献
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