《Algebra Colloquium》

作品数:626被引量:202H指数:5
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《Algebra Colloquium》
主办单位:Academy of Mathematics & Systems Science Chinese Academy of Sciences; Suzhou University
最新期次:2024年4期更多>>
发文主题:ALGEBRARINGGRAPHMODULESALGEBRAS更多>>
发文领域:理学自动化与计算机技术轻工技术与工程文化科学更多>>
发文基金:国家自然科学基金上海市自然科学基金中国博士后科学基金山东省自然科学基金更多>>
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Editorial Board of Algebra Colloquium
《Algebra Colloquium》2024年第4期F0002-F0002,共1页
A Note on Locally Primitive Arc-Transitive Graphs of Valency 8
《Algebra Colloquium》2024年第4期541-548,共8页Fateme Abedi M.Reza Salarian 
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...
关键词:arc-transitive graph s-transitive graph (G s)-transitive graph locally prim-itivegraph 
Strongly One-Sided(b,c)-Inverses in Rings
《Algebra Colloquium》2024年第4期549-558,共10页Cang Wu Jianlong Chen 
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...
关键词:(b c)-inverse strongly left(b c)-inverse regularity (b c)-finiteness Dedekind-finite ring 
Level-One Modules of Quantum N-Toroidal Algebras in Type B
《Algebra Colloquium》2024年第4期559-574,共16页Naihuan Jing Zhucheng Xu Honglian Zhang 
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...
关键词:quantum N-toroidal algebra generating function vertex operator Fock space vertex representation 
Some Examples of Silted Algebras of Dynkin Type
《Algebra Colloquium》2024年第4期575-594,共20页Ruoyun Xing 
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...
关键词:silted algebra tilted algebra 2-term silting complex strictly shod algebra 
Non-invariance of Weak Approximation with Brauer-Manin Obstruction
《Algebra Colloquium》2024年第4期595-608,共14页Han Wu 
NSFC(Grant Nos.12071448,12301014).
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...
关键词:rational points weak approximation Brauer-Manin obstruction Chatelet surfaces Chatelet surface bundles over curves 
Recollements of Quiver Representations Induced by Evaluation Functors
《Algebra Colloquium》2024年第4期609-628,共20页Yu Zhang Huanhuan Li Yuefei Zheng 
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...
关键词:quiver representations abelian categories recollements derived recollements homological properties 
Construction of Cospectral Cayley Digraphs over Dihedral Group D_(6p)
《Algebra Colloquium》2024年第4期629-638,共10页Jing Yang Lang Tang Weijun Liu Lihua Feng 
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...
关键词:Cayley digraph dihedral group cospectral 
The Kernel and Trace Approach to Congruences on Completely Regular Semirings
《Algebra Colloquium》2024年第4期639-650,共12页Xuliang Xian Yong Shao 
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...
关键词:SEMIRING Green's relation CONGRUENCE KERNEL trace 
Finite Autocapable Groups with the 2-Groups of Maximal Class
《Algebra Colloquium》2024年第4期651-660,共10页Pengfei Bai Xiuyun Guo Jiao Wang 
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...
关键词:autocapable group absolute center 2-group of maximal class 
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