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ALGEBRA: 作品数：830被引量：710H指数：10; 导出分析报告; 相关领域：理学更多>>; 相关作者：梅凤翔许天周王圣祥任艳丽王尧更多>>; 相关机构：北京理工大学东南大学浙江大学南京航空航天大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金中国博士后科学基金国家重点基础研究发展计划更多>>

Representations of Drinfeld doubles of Radford Hopf algebras: 《Science China Mathematics》2025年第4期761-784,共24页Hua Sun Hui-Xiang Chen; supported by National Natural Science Foundation of China(Grant Nos.12201545 and 12071412)。; In this article,we investigate the representations of the Drinfeld doubles D(Rmn(q))of the Radford Hopf algebras Rmn(q)over an algebraically closed field k,where m>1 and n>1 are integers and q∈k is a root of unity of...; 关键词：Drinfeld double Radford algebra REPRESENTATION indecomposable module Auslander-Reiten sequence

On Quadratic Left Leibniz Algebras and Related Lie-Yamaguti Structures: 《Journal of Mathematical Research with Applications》2025年第2期152-162,共11页A.Nourou ISSA; A left Leibniz algebra equipped with an invariant nondegenerate skew-symmetric bilinear form(i.e.,a skew-symmetric quadratic Leibniz algebra)is constructed.The notion of T^(*)-extension of Lie-Yamaguti algebras is int...; 关键词：Leibniz algebra T^(*)-extension Lie-Yamaguti algebra

Weak Form Mitter Conjecture on Nonmaximal Rank Estimation Algebra:State Dimension 4 and Rank 3: 《Journal of Systems Science & Complexity》2025年第1期27-78,共52页JIAO Xiaopei YAU Stephen Shing-Toung; supported by the Tsinghua University Education Foundation fund under Grant No.042202008.; Ever since Brockett and Clark(1980),Brockett(1981)and Mitter(1980)introduced the estimation algebra method,it becomes a powerful tool to classify finite-dimensional filtering systems.In this paper,the authors investig...; 关键词：Estimation algebra finite dimensional filter Mitter conjecture state estimation

Journal of Computational Mathematics: 《Journal of Computational Mathematics》2025年第1期F0003-F0003,共1页; Aims and Scope The Journal of Computational Mathematics is published bi-monthly.It is an international journal covering all branches of modern computational mathematics such as numerical linear algebra,numerical optim...; 关键词：PAPERS JOURNAL ALGEBRA

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

APPROXIMATELY ARTINIAN(NOETHERIAN)C*-ALGEBRAS: 《Acta Mathematica Scientia》2024年第6期2485-2497,共13页Mohammad ROUZBEHANI Massoud AMINI Mohammad B.ASADI; supported by grants from INSF(98029498,99013953);partly supported by a grant from IPM(96430215)。; In this article,we introduce and study the class of approximately Artinian(Noetherian)C^(*)-algebras,called AR-algebras(AN-algebras),which is a simultaneous generalization of Artinian(Noetherian)C*-algebras and AF-alg...; 关键词：C^(*)-algebra graph C^(*)-algebra ARTINIAN NOETHERIAN inductive limit (weakly)purely infinite ideal property

Editorial Board of Algebra Colloquium: 《Algebra Colloquium》2024年第4期F0002-F0002,共1页

Coupling Product on Permutations: 《Journal of Applied Mathematics and Physics》2024年第12期4104-4111,共8页Yishuo Yang Huilan Li; In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a graded algebra.; 关键词：PERMUTATION Coupling Product GRADED ALGEBRA

Derivations of the Schrodinger Algebra on Restricted Simple Modules: 《数学进展》2024年第5期1012-1018,共7页HOU Ruiying WANG Shujuan; Supported by NSFC(Nos.12271345,12061029)。; Over an algebraically closed field of characteristic p>2,based on the results on the representation theory of special linear Lie algebra sl(2),restricted simple modules L(λ) of the Schrodinger algebra S(1)are determi...; 关键词：Schrodinger algebra restricted simple module DERIVATION COHOMOLOGY

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