supported by National Natural Science Foundation of China(Grant Nos.12101261 and 12171303);the Simons Foundation(Grant No.523868)。
We prove that the R-matrix and Drinfeld presentations of the Yangian double in type A are isomorphic.The central elements of the completed Yangian double in type A at the critical level are constructed.The images of t...
In this article, we have described the Todd-Coxeter algorithm. Indeed, the Todd-Coxeter algorithm is a mathematical tool used in the field of group theory. It makes it possible to determine different possible presenta...
Supported by the National Natural Science Foundation of China(11871421,12171129,12271406);Zhejiang Provincial Natural Science Foundation of China(LY20A010022);Scientific Research Foundation of Hangzhou Normal University(2019QDL012);Fundamental Research Funds for the Central Universities(22120210554).
Let R be a finite Lie conformal algebra.We investigate the conformal deriva-tion algebra CDer(R),conformal triple derivation algebra CTDer(R)and generalized con-formal triple derivation algebra GCTDer(R),focusing main...
partially supported by the National Natural Science Foundation of China(Grant No.11971196);Hubei Provincial Science and Technology Innovation Base(Platform)Special Project 2020DFH002;the second author was partially supported by the National Natural Science Foundation of China(Grant Nos.11901318,12131013);the Young Elite Scientists Sponsorship Program by Tianjin(Grant No.TJSQNTJ-2020-09)。
A Steinberg-type conjecture on circular coloring is recently proposed that for any prime p≥5,every planar graph of girth p without cycles of length from p+1 to p(p-2)is Cp-colorable(that is,it admits a homomorphism t...
In this paper, we showed how groups are embedded into wreath products, we gave a simpler proof of the theorem by Audu (1991) (see [1]), also proved that a group can be embedded into the wreath prod...
supported by the National Natural Science Foundation of China(Nos.11261050,11561061).
Let R→S be a ring homomorphism and X be a complex of R-modules.Then the complex of S-modules S L RX in the derived category D(S)is constructed in the natural way.This paper is devoted to dealing with the relationship...
the National Science Foundation(Nos.DMS-1403400,DMS-1712602);the National Natural Science Foundation of China(No.11671214);the Young Academia Leaders Program of Nankai University。
Inspired by some recent development on the theory about projection valued dilations for operator valued measures or more generally bounded homomorphism dilations for bounded linear maps on Banach algebras,the authors ...
In this survey,we first present a brief overview of logical algebras.We then discuss concepts of single-valued neutrosophic K-subalgebras,single-valued neutrosophic soft K-algebras and single-valued neutrosophic topol...
Supported by the National Natural Science Foundation of China(11371224);Innovation Foundation of Graduate Student of China Three Gorges University(2019SSPY144)。
The Blaschke-Minkowski homomorphisms was defined by Schuster.Recently,Wang extended its concept to Lp version.In this paper,we obtain affirmative and negative forms of the Shephard type problems for Lp geominimal surf...
supported by the National Natural Science Foundation of China(Grant Nos.11871303,11701327);the China Postdoctoral Science Foundation(No.2018M642633);the Natural Science Foundation of Shandong Province(No.ZR2019MA039);the Shandong Province Higher Educational Science and Technology Program(No.J18KA238).
We introduce and study property T and strong property T for unital*-homomorphisms between two unital C^*-algebras.We also consider the relations between property T and invariant subspaces for some canonical unital^-re...