期刊文献+
共找到15,996篇文章
< 1 2 250 >
每页显示 20 50 100
3维Heisenberg李三系的自同构及Rota-Baxter算子
1
作者 孔庆姝 林洁 姜敬敬 《东北师大学报(自然科学版)》 CAS 北大核心 2024年第2期1-6,共6页
研究了3维Heisenberg李三系的自同构问题.给出了3维Heisenberg李三系的自同构、导子以及权为0和1的Rota-Baxter算子的矩阵表达式.
关键词 Heisenberg李三系 自同构 导子 rota-baxter算子
下载PDF
Rota-Baxter配对Lie模与Rota-Baxter配对Lie交叉模
2
作者 袁纯璐 郑斯航 张良云 《四川师范大学学报(自然科学版)》 CAS 2024年第1期67-73,共7页
首先引入Rota-Baxter配对Lie模概念,然后给出Rota-Baxter配对Lie模的一些构造,最后引入Rota-Baxter配对Lie交叉模概念,并在一个二维向量空间上构造Lie交叉模和Rota-Baxter配对算子.
关键词 rota-baxter配对Lie模 Lie双代数 rota-baxter配对Lie交叉模
下载PDF
由弱H-Hopf模代数构造Rota-Baxter代数
3
作者 刘琳琳 《河南工学院学报》 CAS 2024年第1期35-37,共3页
给出弱H-Hopf模代数的定义及其构造定理,进而由弱H-Hopf模代数出发构造Rota-Baxter代数并提供具体的例子。
关键词 rota-baxter代数 弱HOPF代数 弱H-Hopf模代数
下载PDF
Discussion on the Homology Theory of Lie Algebras
4
作者 Lilong Kang Yu Wang Caiyu Du 《Journal of Applied Mathematics and Physics》 2024年第7期2367-2376,共10页
Because homology on compact homogeneous nilpotent manifolds is closely related to homology on Lie algebras, studying homology on Lie algebras is helpful for further studying homology on compact homogeneous nilpotent m... Because homology on compact homogeneous nilpotent manifolds is closely related to homology on Lie algebras, studying homology on Lie algebras is helpful for further studying homology on compact homogeneous nilpotent manifolds. So we start with the differential sequence of Lie algebras. The Lie algebra g has the differential sequence E0,E1,⋯,Es⋯, which leads to the chain complex Es0→Δs0Ess→Δs1⋯→ΔsiEs(i+1)s→Δsi+1⋯of Esby discussing the chain complex E10→Δ10E11→Δ11⋯→Δ1r−1E1r→Δ1r⋯of E1and proves that Es+1i≅Hi(Es)=KerΔsi+1/ImΔsiand therefore Es+1≅H(Es)by the chain complex of Es(see Theorem 2). 展开更多
关键词 Lie algebra Differential Sequence Differential Fractional algebra COHOMOLOGY
下载PDF
AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVEψ-FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS
5
作者 Safoura Rezaei ADERYANI Azam AHADI +1 位作者 Reza SAADATI Hari M.SRIVASTAVA 《Acta Mathematica Scientia》 SCIE CSCD 2024年第1期311-338,共28页
In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better... In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital C*-algebras and Banach algebras by the vector-valued alternative fixed point theorem. 展开更多
关键词 permuting tri-homomorphism in Banach algebra permuting tri-derivation on C*-algebra fixed point theorem Ulam-Hyers-Rassias stability aggregate special functions tri-additiveψ-functional inequality
下载PDF
Construction of Rota-Baxter algebras via Hopf module algebras 被引量:3
6
作者 JIAN RunQiang 《Science China Mathematics》 SCIE 2014年第11期2321-2328,共8页
We propose the notion of Hopf module algebra and show that the projection onto the subspace of coinvariants is an idempotent Rota-Baxter operator of weight-1. We also provide a construction of Hopf module algebras by ... We propose the notion of Hopf module algebra and show that the projection onto the subspace of coinvariants is an idempotent Rota-Baxter operator of weight-1. We also provide a construction of Hopf module algebras by using Yetter-Drinfeld module algebras. As an application,we prove that the positive part of a quantum group admits idempotent Rota-Baxter algebra structures. 展开更多
关键词 rota-baxter algebra Hopf module algebra Yetter-Drinfeld module algebra
原文传递
Polylogarithms and multiple zeta values from free Rota-Baxter algebras 被引量:4
7
作者 GUO Li1,2 & ZHANG Bin3,1Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China 2Department of Mathematics and Computer Science,Rutgers University,Newark,NJ 07102,USA 3Yangtze Center of Mathematics,Sichuan University,Chengdu 610064,China 《Science China Mathematics》 SCIE 2010年第9期2239-2258,共20页
We show that the shuffle algebras for polylogarithms and regularized MZVs in the sense of Ihara,Kaneko and Zagier are both free commutative nonunitary Rota-Baxter algebras with one generator.We apply these results to ... We show that the shuffle algebras for polylogarithms and regularized MZVs in the sense of Ihara,Kaneko and Zagier are both free commutative nonunitary Rota-Baxter algebras with one generator.We apply these results to show that the full sets of shuffle relations of polylogarithms and regularized MZVs are derived by a single series.We also take this approach to study the extended double shuffle relations of MZVs by comparing these shuffle relations with the quasi-shuffle relations of the regularized MZVs in our previous approach of MZVs by renormalization. 展开更多
关键词 multiple zeta values POLYLOGARITHMS rota-baxter algebras
原文传递
Rota-Baxter Operators on 3-dimensional Lie Algebras and Solutions of the Classical Yang-Baxter Equation 被引量:1
8
作者 Cheng Yong-sheng Wu Lin-li +1 位作者 Wang Pan-yin Du Xian-kun 《Communications in Mathematical Research》 CSCD 2019年第1期81-96,共16页
In this paper,we compute Rota-Baxter operators on the 3-dimensional Lie algebra g whose derived algebra’s dimension is 2.Furthermore,we give the corresponding solutions of the classical Yang-Baxter equation in the 6-... In this paper,we compute Rota-Baxter operators on the 3-dimensional Lie algebra g whose derived algebra’s dimension is 2.Furthermore,we give the corresponding solutions of the classical Yang-Baxter equation in the 6-dimensional Lie algebras g ■ _(ad~*) g~* and some new structures of left-symmetric algebra induced from g and its Rota-Baxter operators. 展开更多
关键词 rota-baxter OPERATORS 3-dimensional Lie algebra classical Yang-Baxter equation left-symmetric algebra
下载PDF
Rota-Baxter Operators of Weight 1 on 2×2-matrix Algebras
9
作者 LI JIN-ZHI LIU WEN-DE Du Xian-kun 《Communications in Mathematical Research》 CSCD 2015年第1期71-80,共10页
In this paper we determine all Rota-Baxter operators of weight 1 on 2 ×2- matrix algebras over an algebraically closed field.
关键词 rota-baxter operator WEIGHT associative algebra
下载PDF
Some results on derivations of MV-algebras 被引量:1
10
作者 WANG Jun-tao HE Peng-fei SHE Yan-hong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2023年第1期126-143,共18页
In this paper, we review some of their related properties of derivations on MValgebras and give some characterizations of additive derivations. Then we prove that the fixed point set of Boolean additive derivations an... In this paper, we review some of their related properties of derivations on MValgebras and give some characterizations of additive derivations. Then we prove that the fixed point set of Boolean additive derivations and that of their adjoint derivations are isomorphic.In particular, we prove that every MV-algebra is isomorphic to the direct product of the fixed point set of Boolean additive derivations and that of their adjoint derivations. Finally we show that every Boolean algebra is isomorphic to the algebra of all Boolean additive(implicative)derivations. These results also give the negative answers to two open problems, which were proposed in [Fuzzy Sets and Systems, 303(2016), 97-113] and [Information Sciences, 178(2008),307-316]. 展开更多
关键词 MV-algebra DERIVATION fixed point set IDEAL Boolean algebra
下载PDF
(ρ, τ, σ)-Derivations of Dendriform Algebras
11
作者 Yousuf A. Alkhezi 《Applied Mathematics》 2023年第12期839-846,共8页
We introduce and investigate the properties of a generalization of the derivation of dendriform algebras. We specify all possible parameter values for the generalized derivations, which depend on parameters. We provid... We introduce and investigate the properties of a generalization of the derivation of dendriform algebras. We specify all possible parameter values for the generalized derivations, which depend on parameters. We provide all generalized derivations for complex low-dimensional dendriform algebras. 展开更多
关键词 Dendriform algebras DERIVATIONS Generalized Derivations
下载PDF
2D Curves in Conformal Hyperquaternion Algebras H⊗2m
12
作者 Grégoire Lutanda Panga 《Journal of Applied Mathematics and Physics》 2023年第10期2904-2912,共9页
The aim of this paper is to outline the conditions of a conformal hyperquaternion algebra H<sup>⊗2m</sup> in which a higher order plane curve can be described by generalizing the well-known cases of conics... The aim of this paper is to outline the conditions of a conformal hyperquaternion algebra H<sup>⊗2m</sup> in which a higher order plane curve can be described by generalizing the well-known cases of conics and cubic curves in 2D. In other words, the determination of the order of a plane curve through n points and its conformal hyperquaternion algebra H<sup>⊗2m</sup> is the object of this work. 展开更多
关键词 Clifford algebra Hyperquaternion algebra Conformal Hyperquaternion Al-gebra
下载PDF
二维预约当代数的Rota-Baxter算子
13
作者 王智斌 《理论数学》 2023年第11期3154-3164,共11页
本文主要计算二维预约当代数的Rota-Baxter算子,得到二维预约当代数上Rota-Baxter算子的完全分类。确定二维预约当代数对应的特殊的四维预约当代数的代数运算,构造这些特殊的四维预约当代数上JP-方程的解。最后利用二维预约当代数的Rota... 本文主要计算二维预约当代数的Rota-Baxter算子,得到二维预约当代数上Rota-Baxter算子的完全分类。确定二维预约当代数对应的特殊的四维预约当代数的代数运算,构造这些特殊的四维预约当代数上JP-方程的解。最后利用二维预约当代数的Rota-Baxter算子构造二维的J-dendriform代数。 展开更多
关键词 预约当代数 JP-方程 rota-baxter算子
下载PDF
On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras
14
作者 ZHU Hua ZHAO Jian-bin 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2023年第2期274-292,共19页
A 2-dimension linguistic lattice implication algebra(2DL-LIA)can build a bridge between logical algebra and 2-dimension fuzzy linguistic information.In this paper,the notion of a Boolean element is proposed in a 2DL-L... A 2-dimension linguistic lattice implication algebra(2DL-LIA)can build a bridge between logical algebra and 2-dimension fuzzy linguistic information.In this paper,the notion of a Boolean element is proposed in a 2DL-LIA and some properties of Boolean elements are discussed.Then derivations on 2DL-LIAs are introduced and the related properties of derivations are investigated.Moreover,it proves that the derivations on 2DL-LIAs can be constructed by Boolean elements. 展开更多
关键词 DERIVATION Boolean element Lattice implication algebra(LIA) 2-dimension linguistic lattice implication algebra(2DL-LIA) 2-dimension fuzzy linguistic information
下载PDF
约当三系上非零权的相对Rota-Baxter算子
15
作者 史新颖 《应用数学进展》 2023年第5期2468-2479,共12页
本文主要研究约当三系上关于非零权的相对Rota-Baxter算子。首先回顾了约当代数,约旦三系以及子系的概念,然后给出了约当三系的表示的定义,进而得出约当三系在另一个约当三系上作用的概念,以及约当三系上非零权的相对Rota-Baxter算子的... 本文主要研究约当三系上关于非零权的相对Rota-Baxter算子。首先回顾了约当代数,约旦三系以及子系的概念,然后给出了约当三系的表示的定义,进而得出约当三系在另一个约当三系上作用的概念,以及约当三系上非零权的相对Rota-Baxter算子的定义,找到了在约当三系及其作用空间的直和上构造新约当三系的方法。最后,给出了在一个约当三系上定义与相对Rota-Baxter算子有关的新运算可得到新的约当三系的方法,并且构造了新的约当三系的表示。此外文中还给出了约当三系上构造相对Rota-Baxter算子的方法。 展开更多
关键词 约当三系 相对rota-baxter算子 作用 伴随表示
下载PDF
Root Systems Lie Algebras
16
作者 Amor Hasić Fatih Destović 《Advances in Linear Algebra & Matrix Theory》 2023年第1期1-20,共20页
A root system is any collection of vectors that has properties that satisfy the roots of a semi simple Lie algebra. If g is semi simple, then the root system A, (Q) can be described as a system of vectors in a Euclide... A root system is any collection of vectors that has properties that satisfy the roots of a semi simple Lie algebra. If g is semi simple, then the root system A, (Q) can be described as a system of vectors in a Euclidean vector space that possesses some remarkable symmetries and completely defines the Lie algebra of g. The purpose of this paper is to show the essentiality of the root system on the Lie algebra. In addition, the paper will mention the connection between the root system and Ways chambers. In addition, we will show Dynkin diagrams, which are an integral part of the root system. 展开更多
关键词 Lie algebras Root Systems Ways Chambers Dynkin Diagrams
下载PDF
Groupoid Approach to Ergodic Dynamical System of Commutative von Neumann Algebra
17
作者 Nicholas O. Okeke Murphy E. Egwe 《Advances in Pure Mathematics》 2024年第3期167-184,共18页
Given a compact and regular Hausdorff measure space (X, μ), with μ a Radon measure, it is known that the generalised space M(X) of all the positive Radon measures on X is isomorphic to the space of essentially bound... Given a compact and regular Hausdorff measure space (X, μ), with μ a Radon measure, it is known that the generalised space M(X) of all the positive Radon measures on X is isomorphic to the space of essentially bounded functions L<sup>∞</sup>(X, μ) on X. We confirm that the commutative von Neumann algebras M⊂B(H), with H=L<sup>2</sup>(X, μ), are unitary equivariant to the maximal ideals of the commutative algebra C(X). Subsequenly, we use the measure groupoid to formulate the algebraic and topological structures of the commutative algebra C(X) following its action on M(X) and define its representation and ergodic dynamical system on the commutative von Neumann algebras of M of B(H) . 展开更多
关键词 Measure Groupoid Groupoid Equivalence Ergodic Action Convolution algebra von Neumann algebra Generalized Space
下载PDF
Split-Tetraquaternion Algebra and Applications
18
作者 Grégoire Lutanda Panga 《Journal of Applied Mathematics and Physics》 2024年第7期2682-2690,共9页
In this paper, from the spacetime algebra associated with the Minkowski space ℝ3,1by means of a change of signature, we describe a quaternionic representation of the split-tetraquaternion algebra which incorporates th... In this paper, from the spacetime algebra associated with the Minkowski space ℝ3,1by means of a change of signature, we describe a quaternionic representation of the split-tetraquaternion algebra which incorporates the Pauli algebra, the split-biquaternion algebra and the split-quaternion algebra, we relate these algebras to Clifford algebras and we show the emergence of the stabilized Poincaré-Heisenberg algebra from the split-tetraquaternion algebra. We list without going into details some of their applications in Physics and in Born geometry. 展开更多
关键词 Tetraquaternion algebra Split-Tetraquaternion algebra Split Quaternion algebra Clifford algebra
下载PDF
Quantum Computingvia Entanglement in Geometric Algebra Approach
19
作者 Alexander Soiguine 《Journal of Applied Mathematics and Physics》 2024年第2期445-457,共13页
The superiority of hypothetical quantum computers is not due to faster calculations but due to different scheme of calculations running on special hardware. At the same time, one should realize that quantum computers ... The superiority of hypothetical quantum computers is not due to faster calculations but due to different scheme of calculations running on special hardware. At the same time, one should realize that quantum computers would only provide dramatic speedups for a few specific problems, for example, factoring integers and breaking cryptographic codes in the conventional quantum computing approach. The core of quantum computing follows the way a state of a quantum system is defined when basic things interact with each other. In the conventional approach, it is implemented through the tensor product of qubits. In the suggested geometric algebra formalism simultaneous availability of all the results for non-measured observables is based on the definition of states as points on a three-dimensional sphere, which is very different from the usual Hilbert space scheme. 展开更多
关键词 Geometric algebra Wave Functions ENTANGLEMENT Maxwell Equations Three-Dimensional Sphere
下载PDF
The Report of Homological Algebra
20
作者 Junhui Zhang 《Open Journal of Applied Sciences》 2024年第9期2749-2767,共19页
The current article intends to introduce the reader to the concept of injective and projective modules and to describe the CFT. We present a clear view to show the homological algebra and injective and projective modu... The current article intends to introduce the reader to the concept of injective and projective modules and to describe the CFT. We present a clear view to show the homological algebra and injective and projective modules. 展开更多
关键词 Homological algebra CATEGORY Projective and Injective Module
下载PDF
上一页 1 2 250 下一页 到第
使用帮助 返回顶部