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>>
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...
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...
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...
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...
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...
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.
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...
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_...
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...
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)...