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ALGEBRAS: 作品数：361被引量：276H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：周建华任艳丽王尧宋振明徐扬更多>>; 相关机构：东南大学西南交通大学鞍山师范学院南开大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金北京市自然科学基金国家重点基础研究发展计划国家教育部博士点基金更多>>

Projective Hilbert modules and sequential approximations: 《Science China Mathematics》2025年第1期137-168,共32页Lawrence G.Brown Huaxin Lin; supported by the National Science Foundation of the US(Grant No.DMS-1954600);partially funded by the Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice,Science and Technology Commission of Shanghai Municipality(Grant Nos.13dz2260400 and 22DZ2229014)。; We show that when A is a separable C^(*)-algebra,every countably generated Hilbert A-module is projective(with bounded module maps as morphisms).We also study the approximate extensions of bounded module maps.In the c...; 关键词：projective Hilbert modules simple C^(*)-algebras sequential approximations

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

THE STABILITY OF AF-RELATIONS: 《Acta Mathematica Scientia》2024年第6期2443-2464,共22页Jiajie HUA; supported by the Scientific Research Fund of Zhejiang Provincial Education Department(Y202249575);the National Natural Science Foundation of China(11401256);the Zhejiang Provincial Natural Science Foundation of China(LQ13A010016)。; For given l,s∈N,Λ={ρ_(j)}_(j=i),…,s,ρj∈T,the C^(*)-algebra B:=ε({r_(j)}_(j=1),…,s,Λ,l)is defined to be the universal C^(*)-algebra generated by l unitaries u_(1),…,u_(l) subject to the relations r_(j)(u_(1),...; 关键词：C^(*)-algebras STABILITY AF-relations UNITARY

Cohomology of Reynolds Leibniz Algebras of Nonzero Weight: 《Journal of Mathematical Research with Applications》2024年第6期741-753,共13页Yizheng LI Dingguo WANG; Supported by the National Natural Science Foundation of China(Grant No.12271292)。; In this paper,we define the cohomology of a Reynolds Leibniz algebra with coefficients in a suitable representation.We also introduce the notion of Reynolds Leibniz 2-algebras,and prove that strict Reynolds Leibniz 2-...; 关键词：Reynolds Leibniz algebra COHOMOLOGY Reynolds Leibniz 2-algebras crossed module

Cohomology of Lie-Conformal Algebras with Derivations: 《Journal of Mathematical Research with Applications》2024年第6期754-768,共15页Shuangjian GUO; Supported by the National Natural Science Foundation of China(Grant No.12161013);the Basic Research Program(Natural Science)of Guizhou Province(Grant No.ZK[2023]025)。; In this paper,we consider Lie conformal algebras with derivations.A pair consisting of a Lie conformal algebra and a distinguished derivation is called a LieCDer pair.We introduce a cohomology theory for LieCDer pair ...; 关键词：Lie conformal algebras COHOMOLOGY abelian extension conformal Lie 2-algebras homotopy derivation

Open Cones and K-Theory for l^(p)Roe Algebras: 《Chinese Annals of Mathematics,Series B》2024年第6期943-956,共14页Jianguo ZHANG; supported by the National Natural Science Foundation of China(Nos.12171156,12271165,12301154).; In this paper,the author verifies the l^(p)coarse Baum-Connes conjecture for open cones and shows that the K-theory for l^(p) Roe algebras of open cones is independent of p∈[1,∞).Combined with the result of Fukaya a...; 关键词：K-THEORY l^(p)Roe algebras Open cones

THE BSE PROPERTY FOR SOME VECTOR-VALUED BANACH FUNCTION ALGEBRAS: 《Acta Mathematica Scientia》2024年第5期1945-1954,共10页Fatemeh ABTAHI Ali REJALI Farshad SAYAF; In this paper,X is a locally compact Hausdorff space and A is a Banach algebra.First,we study some basic features of C0(X,A)related to BSE concept,which are gotten from A.In particular,we prove that if C0(X,A)has the ...; 关键词：BSE algebras BSE-function BSE norm multiplier algebra SEMISIMPLE without order

Asymptotic Direct System of C^(*)-algebras and Locally AF-algebra: 《数学进展》2024年第5期1084-1092,共9页XIE Zhentao YAO Hongliang WANG Hao; Supported by Natural Science Foundation of Jiangsu Province,China (No.BK20171421)。; We define the direct limit of the asymptotic direct system of C^(*)-algebras and give some properties of it.Finally,we prove that a C^(*)-algebra is a locally AF-algebra,if and only if it is the direct limit of an asy...; 关键词：C^(*)-algebra asymptotic direct system direct limit locally AF-algebra

Products of Commutator Ideals of Some Lie-admissible Algebras: 《Acta Mathematica Sinica,English Series》2024年第8期1875-1892,共18页Ivan KAYGORODOV Farukh MASHUROV Tran Giang NAM Ze Rui ZHANG; supported by FCT(Grant No.UIDB/00212/2020);FCT(Grant No.UIDP/00212/2020);supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan(Grant No.AP14869221);by“Tayelsizdik urpaqtary”MISD RK;partially supported by the Simons Foundation Targeted Grant for the Institute of Mathematics–VAST(Grant No.558672);by the Vietnam Institute for Advanced Study in Mathematics(VIASM);supported by the NNSF of China(Grant No.12101248);by the China Postdoctoral Science Foundation(Grant No.2021M691099)。; In this article,we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras,bicommutative algebras,and assosymmetric algebras.More precisely,we first study the properties of t...; 关键词：Novikov algebra bicommutative algebra assosymmetric algebra Lie nilpotent algebra

ALGEBRAS