Let X be a connected G-locally primitive arc-transitive graph for some sub-group G of Aut(X).Suppose that X is a(G,s)-transitive graph.In this paper,we give a characterization of the vertex-stabilizer G,when X has val...
National Natural Science Foundation of China(Nos.12171083,11871145 and 12071070);Qing Lan Project of Jiangsu Province,and the Postgraduate Research and Practice Innovation Program of Jiangsu Province(No.KYCX21_0078).
We give some new characterizations of strongly one-sided(b,c)-invertibility of elements in rings,and establish the relations between one-sided(b,c)-inverses and strongly one-sided(b,c)-inverses.When b=c,Kaplansky's th...
Simons Foundation grant 523868,NSFC grants 11531004 and 12171303;NSF grants 1014554 and 1137837.;NSFC grants 11871325 and 12271332;Shanghai Natural Science Foundation grant 22ZR1424600.
Quantum N-toroidal algebras are generalization of the quantum toroidal al-gebras.In this paper,we construct two types of level-one vertex representations of the quantum N-toroidal algebras in type B,which also realize...
National Natural Science Foundation of China(No.11671207).
This paper studies silted algebras,namely,endomorphism algebras of 2-term silting complexes,over path algebras of Dynkin quivers.We describe an algorithm to produce all basic 2-term silting complexes over the path alg...
We study weak approximation with Brauer-Manin obstruction with respect to extensions of number fields.For any nontrivial extension L/K,assuming a conjecture of M.Stoll,we prove that there exists a K-threefold satisfyi...
NSFC(Grant Nos.11701455 and 12101474);Fundamental Research Funds for the Central Universities(Grant No.2452020182).
Let Q=(Qo,Qi)be an arbitrary acyclic quiver and M an abelian category satisfying AB3 and AB3*.Let Rep(Q,M)be the category of M-valued representations of Q and Rep;(Q,M)its full subcategory consisting of representation...
L.H.Feng and W.J.Liu were supported by NSFC(Nos.12271527,12471022);L.Tang was supported by NSFC(No.12201202);Hunan Provincial Natural Science Foundation(Nos.2020JJ5096,2020JJ4233).
Let G be a finite group and S G\(e),where e denotes the identity element of G.The Cayley digraph X(G,S)of G over the set S is the graph with vertex set G and edge set((a,sa)I E G,s E S).Two graphs are called cospectra...
Natural Science Foundation of China(11971383,11801239);Shaanxi Fundamental Science Research Project for Mathematics and Physics(22JSY023).
On completely regular semirings,we give alternative characterizations for the kernel of a congruence and idempotent pure congruences.Then we give alternative characterizations for the trace of a congruence and idempot...
National Natural Science Foundation of China(12171302,11801334);Natural Science Foundation of Shanxi Province(202103021224287);Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(2021L278);Science&Technology Development Fund of Tianjin Education Commission for Higher Education(2019KJ141).
A group H is said to be autocapable if there exists a group M such that H is isomorphic to the absolute central factor group M/L(M)of M.In this paper,we first prove that if N is a characteristic subgroup of an autocap...