CENTRALIZER

作品数:17被引量:5H指数:1
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相关领域:理学石油与天然气工程更多>>
相关作者:刘燕俊祝家贵更多>>
相关机构:皖西学院首都师范大学更多>>
相关期刊:《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《China Oil & Gas》《Journal of Mathematical Research with Applications》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湖北省自然科学基金安徽省教委基金更多>>
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On the Centralizers of Rescaling Separating Differentiable Vector Fields
《Acta Mathematica Sinica,English Series》2024年第11期2671-2683,共13页Bo HAN Xiao WEN 
Supported by National Key R&D Program of China(Grant No.2022YFA1005801);National Natural Science Foundation of China(Grant No.12071018);the Fundamental Research Funds for the Central Universities。
In this paper,we introduce a new concept of expansiveness,similar to the separating property.Specifically,we consider a compact Riemannian manifold M without boundary and a C^(1)vector field X on M,which generates a f...
关键词:CENTRALIZER EXPANSIVENESS HYPERBOLICITY 
Doubled Hecke Algebras and Related Quantum Schur Duality
《Algebra Colloquium》2024年第3期417-428,共12页Chenliang Xue An Zhang 
supported by the National Natural Science Foundation of China(NSFC)Grant 12071136.
We introduce the doubled Hecke algebra,which is an infinite-dimensional algebra generated by two Hecke algebras.This concept originates from the degenerate doubled Hecke algebra in the theory of Schur-Weyl duality rel...
关键词:quantum group doubled Hecke algebra quantum q-Schur duality double centralizer 
Group-Theoretic Remarks on Goldbach’s Conjecture
《Advances in Pure Mathematics》2022年第11期624-637,共14页Liguo He Gang Zhu 
The famous strongly binary Goldbach’s conjecture asserts that every even number 2n ≥ 8 can always be expressible as a sum of two distinct odd prime numbers. We use a new approach to dealing with this conjecture. Spe...
关键词:Alternating Group Element Order Prime Graph Goldbach’s Conjecture CENTRALIZER 
Characterizations of Centralizable Mappings on Algebras of Locally Measurable Operators
《Acta Mathematica Sinica,English Series》2020年第9期1039-1048,共10页Jun HE Guang Yu AN Jian Kui LI Wen Hua QIAN 
supported by National Natural Science Foundation of China(Grant Nos.11801005;11801342;11801004;11871021;11801050);supported by a Startup Fundation of Anhui Polytechnic University(Grant No.2017YQQ017);supported by Shaanxi Provincial Education Department(Grant No.19JK0130);supported by Research Foundation of Chongqing Educational Committee(Grant No.KJQN2018000538);We would like to thank the for their patience and useful comments.
A linear mappingφfrom an algebra A into its bimodule M is called a centralizable mapping at G∈A ifφ(AB)=φ(A)B=Aφ(B)for each A and B in A with AB=G.In this paper,we prove that if M is a von Neumann algebra without...
关键词:Centralizable mapping CENTRALIZER von NEUMANN algebra LOCALLY measurable operator 
On a Generalized Centralizer Ring of a Finite Group Which Det ermines the Group
《Algebra Colloquium》2019年第1期31-50,共20页Emma L. Rode 
The k-characters are class functions on subsets of G^k called the k-classes of G. For a finite group G, the k-class sums form a basis for a subring of CG^k, which we call the k-S-ring of G、and we think of these rings...
关键词:S-ring fc-class CENTRALIZER RING 
Cohen-Fischman-Westreich's Double Centralizer Theorem for Almost-Triangular Hopf Algebras
《Chinese Annals of Mathematics,Series B》2016年第4期483-494,共12页Guohua LIU Xiaofan ZHAO 
supported by the National Natural Science Foundation of China(No.11371088);the Natural Science Foundation of Jiangsu Province(No.BK2012736)
In this paper, the authors study the Cohen-Fischman-Westreich's double centralizer theorem for triangular Hopf algebras in the setting of almost-triangular Hopf algebras.
关键词:Schur's double centralizer theorem Cohen-Fischman-Westreich's doublecentralizer theorem Almost-triangular Hopf algebra R-Lie algebra 
Braids with Trivial Simple Centralizer
《Algebra Colloquium》2015年第4期561-566,共6页U. Ali F. Azam I. Javaid A. Haider 
In this paper, we prove that the n-simple braid divisible by the generators xi for all 2 ≤ i ≤n - 2 has trivial simple centralizer. Consequently, the commuting graph defined on the set of simple braids is disconnect...
关键词:simple braid simple centralizer commuting graph 
The Centralizer of an I-Matrix in M_2(R/I), R a UFD
《Algebra Colloquium》2014年第4期615-626,共12页Magdaleen S. Marais 
The concept of an I-matrix in the full 2 × 2 matrix ring M2 (R/I), where R is an arbitrary UFD and I is a nonzero ideal in R, is introduced. We obtain a concrete description of the centralizer of an/-matrix B in M_...
关键词:CENTRALIZER I-matrix matrix ring unique factorization domain principalideal domain 
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. 
Thompson's conjecture for Lie type groups E_7(q)被引量:1
《Science China Mathematics》2014年第3期499-514,共16页XU MingChun SHI WuJie 
supported by National Natural Science Foundation of China(Grant Nos.11171118,10961007 and 11171364);the Innovation Foundation of Chongqing University(Grant No.KJTD201321)
In this article, we prove a conjecture of Thompson for an infinite class of simple groups of Lie type ET(q). More precisely, we show that every finite group G with the properties Z(G) = 1 and cs(G) = cs(ET(q)...
关键词:simple group minimal normal subgroup conjugacy classes CENTRALIZER 
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