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FUNCTORS: 作品数：30被引量：6H指数：1; 导出分析报告; 相关作者：王春华更多>>; 相关机构：华东师范大学更多>>; 相关期刊：《数学学报（中文版）》《Journal of Mathematical Research with Applications》《电脑编程技巧与维护》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金北京市自然科学基金重庆市自然科学基金更多>>

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

Gorenstein Projective Coresolutions and Co-Tate Homology Functors: 《Algebra Colloquium》2023年第1期1-14,共14页Zhongkui Liu Li Wang; Supported by National Natural Science Foundation of China(Grant No.11971388).; For a local commutative Gorenstein ring R,Enochs et al.in[Gorenstein projective resolvents,Comm.Algebra 44(2016)3989-4000)defined a functor Extn^(R)(-,-)and showed that this functor can be computed by taking a totally...; 关键词：Gorenstein projective preenvelope Gorenstein projective coresolution right Gorenstein projective dimension co-Tate homology functor

On the Homology of the Dual de Rham Complex: 《Acta Mathematica Sinica,English Series》2022年第10期1666-1676,共11页Roman MIKHAILOV; supported by the grant of the Government of the Russian Federation for the state support of scientific research carried out under the supervision of leading scientists;agreement 14.W03.31.0030 dated 15.02.2018.1。; We study the homology of the dual de Rham complex as functors on the category of abelian groups.We give a description of homology of the dual de Rham complex up to degree 7 for free abelian groups and present a correc...; 关键词：Dual de Rham complex polynomial functor divided powers derived functors

When the Schur functor induces a triangle-equivalence between Gorenstein defect categories被引量：1: 《Science China Mathematics》2022年第10期2019-2034,共16页Huanhuan Li Jiangsheng Hu Yuefei Zheng; supported by National Natural Science Foundation of China (Grant Nos. 11626179, 12101474, 12171206 and 11701455);Natural Science Foundation of Jiangsu Province (Grant No. BK20211358);Natural Science Basic Research Plan in Shaanxi Province of China (Grant Nos. 2017JQ1012 and 2020JM-178);Fundamental Research Funds for the Central Universities (Grant Nos. JB160703 and 2452020182)。; Let R be an Artin algebra and e be an idempotent of R. Assume that Tor_(i)^(eRe)(Re, G) = 0 for any G ∈ GprojeRe and i sufficiently large. Necessary and sufficient conditions are given for the Schur functor S_(e) to ...; 关键词：Schur functors triangle-equivalences singularity categories Gorenstein defect categories triangular matrix algebras

Half Exact Functors Associated with Cotorsion Pairs on Exact Categories: 《Acta Mathematica Sinica,English Series》2019年第8期1334-1356,共23页Yu LIU; Supported by Fundamental Research Funds for the Central Universities(Grant No.2682018ZT25); In the previous article "Hearts of twin cotorsion pairs on exact categories. J. Algebra, 394,245–284(2013)", we introduced the notion of the heart for any cotorsion pair on an exact category with enough projectives a...; 关键词：Cotorsion pair heart HALF EXACT FUNCTOR EQUIVALENCE

The Cotorsion Pair Cogenerated by the Subcategory of Stable Functors in ((R-mod)^op, Ab): 《Algebra Colloquium》2019年第2期259-270,共12页Xianhui Fu Meiyuan Ni; National Natural Science Foundation of China (No. 11671069).; Let R be an associative ring with identity. Denote by ((R-mod)^op, Ab) the category consisting of contravariant functors from the category of finitely presented left R-modules R-mod to the category of abelian groups A...; 关键词：stable FUNCTORS cotorsion PAIRS TORSION PAIRS

Continuity of functors with respect to generalized inductive limits被引量：1: 《Frontiers of Mathematics in China》2019年第3期551-566,共16页Jiajie HUA Xiaochun FANG Xiao-Ming XU; supported in part by the National Natural Science Foundation of China (Grant Nos. 11401256, 11871375, 11601339);the Natural Science Foundation of Zhejiang Province (No. LQ13A010016);when the authors visited the Research Center for Operator Algebras in East China Normal University.; Let(Ai,φi,i+1) be a generalized indue Live system of a sequeiiee (Ai) of unital separable C^*-algebras,with A =limi→∞(Ai,φi,i+1). Set φj,i=φi-1,i^0…0φj+1,j+2^0 φj,j+1 for all i>j. We prove that if φj,i are o...; 关键词：COMPLETELY positive map order zero GENERALIZED inductive limits classification of C^*-algebra

Triangulated Structures Induced by Triangle Functors: 《Chinese Annals of Mathematics,Series B》2019年第1期55-64,共10页Zhibing ZHAO Xianneng DU Yanhong BAO; supported by the National Natural Science Foundation of China(Nos.11401001,11571329);the Project of Introducing Academic Leader of Anhui University(No.01001770);the Research Project of Anhui Province(No.KJ2015A101); Given a triangle functor F : A → B, the authors introduce the half image hIm F,which is an additive category closely related to F. If F is full or faithful, then hIm F admits a natural triangulated structure. However...; 关键词：Triangulated CATEGORY TRIANGLE FUNCTOR HALF image Verdier QUOTIENT

Objective Triangle Functors in Adjoint Pairs: 《Algebra Colloquium》2017年第4期639-646,共8页Pu Zhang Lin Zhu; An additive functor F： A→B between additive categories is objective if any morphism f in A with F（f） = 0 factors through an object K with F（K） = 0. We consider when a triangle functor in an adjoint pair is objec...; 关键词：adjoint pair objective triangle functor unit and counit

Avramov–Martsinkovsky Type Exact Sequences with Tor Functors: 《Acta Mathematica Sinica,English Series》2017年第11期1569-1577,共9页Chun Xia ZHANG Li LIANG; Supported by National Natural Science Foundation of China(Grant Nos.11301240,11401475);Natural Science Foundation of Chongqing(cstc2017jcyjAX0298); For two classes of right R-modules W, X such that P W X, where P is the class of projective right R-modules, we show that there is an Avramov-Martsinkovsky type exact sequence with generalized Tate homology func...; 关键词：Relative homology （generalized） Tate homology Avramov-Martsinkovsky type exact sequence

FUNCTORS