LEIBNIZ

作品数:70被引量:50H指数:4
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相关领域:理学自动化与计算机技术更多>>
相关作者:关宝玲张庆成杜德生曹燕邬志强更多>>
相关机构:东北师范大学厦门大学齐齐哈尔大学华东师范大学更多>>
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Cohomology of Reynolds Leibniz Algebras of Nonzero Weight
《Journal of Mathematical Research with Applications》2024年第6期741-753,共13页Yizheng LI Dingguo WANG 
Supported by the National Natural Science Foundation of China(Grant No.12271292)。
In this paper,we define the cohomology of a Reynolds Leibniz algebra with coefficients in a suitable representation.We also introduce the notion of Reynolds Leibniz 2-algebras,and prove that strict Reynolds Leibniz 2-...
关键词:Reynolds Leibniz algebra COHOMOLOGY Reynolds Leibniz 2-algebras crossed module 
A Conceptual Relativist Amendment to Burke's Monism
《清华西方哲学研究》2024年第1期37-56,共20页CHEN Zhengguan 
Can distinct objects occupy the same region at the same time?If someone has not been exposed to professional philosophy,they would very likely reply,“No!If a statue is already there,of course I can't put my cellphone...
关键词:COINCIDENCE Identity Leibniz's Law MONISM Explosionism Conceptual relativity 
Simple and Pseudo Quadratic Leibniz Superalgebras
《Journal of Applied Mathematics and Physics》2023年第9期2691-2703,共13页Mamadou Pouye Bernardin Kpamegan Leonard Todjihoundé 
Compactness of subspaces of a Z2-graded vector space is introduced and used to study simple Leibniz superalgebras. We introduce left and right super-invariance of bilinear forms over superalgebras. Pseudo-q...
关键词:Leibniz Superalgebras Lie Superalgebras Double Extension Left (Resp. Right) Super-Invariant Bilinear Form 
Nonabelian omni-Lie algebroids
《Frontiers of Mathematics in China》2022年第6期1037-1049,共13页Yanhui BI Hongtao FAN Danlu CHEN 
supported by the National Natural Science Foundation of China(Grant Nos.11961049,11601219).
In this paper,we study the structure of nonabelian omni-Lie algebroids.Firstly,taking Lie algebroid(E,[·,·]_(E,ρE))as the starting point,a nonabelian omni-Lie algebroid is defined on direct sum bundle DE⊕JE,where ...
关键词:Nonabelian omni-Lie algebroid omni-Lie algebroid trivial deformation matched pair of Leibniz algebroids 
A Geometric Formulation and a Series Approach for Estimating π with Remarks on a Sumerian Tablet
《Advances in Pure Mathematics》2022年第11期587-599,共13页Serdar Beji 
A recursive method based on successive computations of perimeters of inscribed regular polygons for estimating π is formulated by employing the Pythagorean theorem alone without resorting to any trigonometric calcula...
关键词:π from Recursive Formulas for Polygonal Perimeters Arayabatha’s Method of Estimating π Improved Leibniz Series for Computing π Sumerian Tablet of Geometric Figures 
On Split Regular Hom-Leibniz-Rinehart Algebras
《Journal of Mathematical Research with Applications》2022年第5期481-498,共18页Shuangjian GUO Xiaohui ZHANG Shengxiang WANG 
Supported by the National Natural Science Foundation of China (Grant No. 12161013);the Key Project of Guizhou University of Finance and Economics (Grant No. 2022KYZD05)。
In this paper, we introduce the notion of the Hom-Leibniz-Rinehart algebra as an algebraic analogue of Hom-Leibniz algebroid, and prove that such an arbitrary split regular Hom-Leibniz-Rinehart algebra L is of the for...
关键词:Hom-Leibniz-Rinehart algebra root space weight space decomposition simple ideal 
广义协变Hamilton系统的退化条件被引量:3
《南阳师范学院学报》2022年第4期18-20,共3页王根 
考虑了广义结构Poisson括号退化为广义Poisson括号的充分必要条件,并应用到广义协变Hamilton系统上,证明了广义Leibniz恒等式满足在广义结构Poisson括号下的Leibniz恒等式当且仅当几何标量势函数是Casimir函数,并列举了一个例子.
关键词:广义HAMILTON系统 广义结构Poisson括号 广义协变Hamilton系统 CASIMIR函数 Leibniz恒等式 
Hom-Leibniz-Rinehart代数的交叉模被引量:1
《南昌航空大学学报(自然科学版)》2022年第1期28-32,共5页毕艳会 陈丹露 张明同 
国家自然科学基金(1196010189,11601219)。
在前人研究的基础上,对Hom-非交换代数做了进一步研究。首先,给出了关于Hom-Leibniz-Rinehart代数上Hom-作用的定义。其次,在Hom-Leibniz-Rinehart代数和Hom-Leibniz A-代数的直和代数上定义了左锚映射、右锚映射和自同态,使二者构成半...
关键词:Hom-Leibniz-Rinehart代数 Hom-作用 交叉模 
Some Theorems on Leibniz n-Algebras from the Category U_(n)(Lb)
《Algebra Colloquium》2021年第1期155-168,共14页Min Soo Kim Rustam Turdibaev 
The first author was supported by the National Science Foundation(grant number 1658672),USA.
We study the Leibniz n-algebra U_(n)(L),whose multiplication is defined via the bracket of a Leibniz algebra L as[x1,…,xn]=[x1,[…,[xn−2,[xn−1,xn]]…]].We show that U_(n)(L)is simple if and only if L is a simple Lie ...
关键词:Leibniz n-algebra Leibniz n-kernel simple Leibniz n-algebra Levi decomposition 
Twisted bounded-dilation group C*-algebras as C*-metric algebras被引量:1
《Science China Mathematics》2021年第3期547-572,共26页Botao Long Wei Wu 
supported by National Natural Science Foundation of China(Grant Nos.11171109 and 11801177);the Science and Technology Commission of Shanghai Municipality(Grant No.18dz2271000)。
We construct a class of C*-metric algebras. We prove that for a discrete group Γ with a 2-cocycle σ,the closure of the seminorm ||[Ml1,·]|| on Cc(Γ, σ) is a Leibniz Lip-norm on the twisted reduced group C*-algebr...
关键词:discrete group boundedθ-dilation twisted reduced group C*-algebra C*-metric algebra Leibniz Lip-norm compact quantum metric space 
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