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COMMUTATIVE: 作品数：96被引量：54H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：李思远余靖刘国华杨国庆刘德权更多>>; 相关机构：贵州民族大学烟台师范学院燕山大学湖北大学更多>>; 相关期刊：《Communications in Theoretical Physics》《Journal of Beijing Institute of Technology》《Algebra Colloquium》《Wuhan University Journal of Natural Sciences》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金上海市自然科学基金更多>>

本刊英文版2024年67卷第12期(2671–2908)摘要: 《中国科学：数学》2024年第12期I0001-I0004,共4页; Reverse mathematics and local rings Huishan Wu Abstract In this paper,we study local rings from the perspective of reverse mathematics.We define local rings in a first-order way by usingП_(2)^(0)properties of inverti...; 关键词：COMMUTATIVE RINGS MAXIMAL

Groupoid Approach to Ergodic Dynamical System of Commutative von Neumann Algebra: 《Advances in Pure Mathematics》2024年第3期167-184,共18页Nicholas O. Okeke Murphy E. Egwe; 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...; 关键词：Measure Groupoid Groupoid Equivalence Ergodic Action Convolution Algebra von Neumann Algebra Generalized Space

On Complemented Subsystems of Commutative Jordan Quadruple Systems: 《Algebra Colloquium》2023年第4期555-568,共14页Hader A.Elgendy; We extend the notions of commutativity,ideals,anisotropy,and complemented subtriples of Jordan triple systems to those of Jordan quadruple systems.We show that if S is a complemented subsystem of an anisotropic commut...; 关键词：Jordan quadruple system IDEAL complemented subsystem commutative Jordan quadruple system structural projection

Commutation of Geometry-Grids and Fast Discrete PDE Eigen-Solver GPA: 《Chinese Annals of Mathematics,Series B》2023年第5期735-752,共18页Jiachang SUN Jianwen CAO Ya ZHANG Haitao ZHAO; supported by the Basic Research Plan on High Performance Computing of Institute of Software(No.ISCAS-PYFX-202302);the National Key R&D Program of China(No.2020YFB1709502);the Advanced Space Propulsion Laboratory of BICE and Beijing Engineering Research Center of Efficient and Green Aerospace Propulsion Technology(No.Lab ASP-2019-03)。; A geometric intrinsic pre-processing algorithm(GPA for short)for solving largescale discrete mathematical-physical PDE in 2-D and 3-D case has been presented by Sun(in 2022–2023).Different from traditional preconditi...; 关键词：Mathematical-physical discrete eigenvalue problems Commutative operator Geometric pre-processing algorithm Eigen-polynomial factorization

Normalization of Indexed Differentials by Extending Grobner Basis Theory: 《Journal of Systems Science & Complexity》2022年第5期2016-2028,共13页LIU Jiang NI Feng SONG Shihang DU Mingjun; supported by the National Natural Science Foundation of China under Grant No.11701370。; It is a fundamental problem to determine the equivalence of indexed differential polynomials in both computer algebra and differential geometry.However,in the literature,there are no general computational theories for...; 关键词：Canonical form Einstein summation convention free commutative monoid ring Grobner basis indexed differential polynomial

On Finite Local Rings with Clique Number Four: 《Algebra Colloquium》2022年第1期23-38,共16页Qiong Liu Tongsuo Wu Jin Guo; This research was supported by the National Natural Science Foundation of China(No.11801356,No.11401368,No.11971338);by the Natural Science Foundation of Shanghai(No.19ZR1424100).; We study the algebraic structure of rings R whose zero-divisor graph T(R)has clique number four.Furthermore,we give complete characterizations of all the finite commutative local rings with clique number 4.; 关键词：finite commutative local rings refinements of star graph clique number

Supersymmetric structures of Dirac oscillators in commutative and noncommutative spaces: 《Chinese Physics B》2021年第11期228-232,共5页Jing-Ying Wei Qing Wang Jian Jing; Project supported by the National Natural Science Foundation of China(Grant No.11465006).; The supersymmetric properties of a charged planar Dirac oscillator coupling to a uniform perpendicular magnetic field are studied.We find that there is an N=2 supersymmetric structure in both commutative and noncommut...; 关键词：Dirac oscillator anti-Jaynes-Cummings model Jaynes-Cummings model SUPERSYMMETRY

Remarks on Centers of Rings: 《Algebra Colloquium》2021年第1期1-12,共12页Juan Huang Hailan Jin Tai Keun Kwak Yang Lee Zhelin Piao; The second author was supported by the National Natural Science Foundation of China(11361063);the third author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education of Korea(2016R1D1A1B03931190).; It is proved that for matrices A,B in the n by n upper triangular matrix ring T_(n)(R)over a domain R,if AB is nonzero and central in T_(n)(R)then AB=BA.The n by n full matrix rings over right Noetherian domains are a...; 关键词：weakly reversible-over-center ring CENTER commutative domain right Noetherian domain reduced ring full(upper)triangular matrix ring NI ring

An Extension of Grobner Basis Theory to Indexed Polynomials Without Eliminations: 《Journal of Systems Science & Complexity》2020年第5期1708-1718,共11页LIU Jiang; supported by the National Natural Science Foundation of China under Grant No.11701370。; In computer algebra,it remains to be challenging to establish general computational theories for determining the equivalence of indexed polynomials.In previous work,the author solved the equivalence determination prob...; 关键词：Canonical form Einstein summation convention free commutative monoid ring Grobner basis

Krein Parameters of Fiber-Commutative Coherent Configurations: 《Algebra Colloquium》2020年第1期1-10,共10页Keiji Ito Akihiro Munemasa; For fiber-commutative coherent configurations,we show that Krein parameters can be defined essentially uniquely.As a consequence,the general Krein condition reduces to positive semidefiniteness of finitely many matric...; 关键词：coherent configuration association scheme Krein parameter Krein condition generalized quadrangle absolute bound

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