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RECOLLEMENT: 作品数：47被引量：33H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：林增强陈清华林亚南唐丽丹辛林更多>>; 相关机构：福建师范大学厦门大学华侨大学龙岩学院更多>>; 相关期刊：《福州大学学报（自然科学版）》《兰州大学学报（自然科学版）》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金福建省自然科学基金高层次人才科研启动基金福建省教育厅科技项目更多>>

Homological Dimensions of Extriangulated Categories and Recollements: 《Algebra Colloquium》2023年第4期667-684,共18页Weili Gu Xin Ma Lingling Tan; This work was supported by the NSFC(12001168);Henan University of Engineering(DKJ2019010);the Key Research Project of Education Department of Henan Province(21A110006);the project ZR2021QA001 of Shandong Provincial Natural Science Foundation.; Let(A,B,C)be a recollement of extriangulated categories.In this paper we introduce the global dimension and extension dimension of extriangulated categories,and give some upper bounds of global dimensions and extensio...; 关键词：extriangulated category RECOLLEMENT global dimension extension dimension

Reduction of Wide Subcategories and Recollements: 《Algebra Colloquium》2023年第4期713-720,共8页Yingying Zhang; This work was supported by the NSFC(Grant No.12201211);the China Scholarship Council(Grant No.202109710002).; In this paper,we prove a reduction result on wide subcategories of abelian categories which is similar to the Calabi-Yau reduction,silting reduction andτ-tilting reduction.More precisely,if an abelian category A admi...; 关键词：abelian category wide subcategory RECOLLEMENT

Recollements,Tilting Homological Dimensions and Higher-Dimensional Auslander-Reiten Theory: 《Journal of Mathematical Research with Applications》2020年第3期263-274,共12页Xuerong FU Hailou YAO; Supported by the National Natural Science Foundation of China(Grant No.11671126).; In this paper we mainly investigate the behavior of tilting homological dimensions of the categories involved in the recollement of abelian categories(A,B,C).In particular,when abelian category B is hereditary,we give...; 关键词：RECOLLEMENT tilting homological dimension n-almost split sequence

Relative homological dimensions in recollements of triangulated categories被引量：1: 《Frontiers of Mathematics in China》2019年第1期25-43,共19页Yonggang HU Hailou YAO; National Natural Science Foundation of China (Grant No. 11671126).; Let E be a proper class of triangles in a triangulated category C, and let (A, B, C) be a recollement of triangulated categories. Based on Beligiannis's work, we prove that A and C have enough E-projective objects whe...; 关键词：Triangula ted CATEGORY PROPER class of TRIANGLES RECOLLEMENT Sglobal DIMENSION derived CATEGORY

同伦范畴中recollement的建立: 《兰州大学学报（自然科学版）》2019年第1期115-118,共4页马鑫杨晓燕; 国家自然科学基金项目(11461060); 证明了在相对情形下上有界复形的同伦分解的存在性,是对经典复形的同伦分解的推广.建立了同伦范畴K(A)和相对导出范畴DX(A)的左recollement.证明了dg X和DX(A)是三角等价的,其中X是A的反变有限的容许子范畴.; 关键词：dgX分解 RECOLLEMENT 三角等价

Godement积和函子范畴的recollement（英文）: 《数学进展》2018年第6期813-820,共8页周振强; supported by NSFC(Nos.11701486,11626199);the High-level Personnel of Special Support Program of Xiamen University of Techonology(No.YKJ15032R); 对给定的两个伴随对,本文利用Godement积给出其上函子范畴的伴随对.进一步地,本文证明:如果一个预加范畴的recollement满足加法函数j~*是满的,则该recollement可以自然诱导其上模范畴的一个阿贝尔范畴的recollement.该结果从范畴的角度...; 关键词：Godement积伴随对函子范畴 RECOLLEMENT

Ding-投射模及稳定的t-结构被引量：1: 《吉林大学学报（理学版）》2018年第5期1049-1052,共4页张豫冈曹天涯; 国家自然科学基金(批准号:11401476;11361051); 构造由Ding-投射模构成的特殊同伦范畴,并给出其性质.此外,若环R满足一定条件,给出该同伦范畴中稳定的t-结构及其对应右的Recollement.; 关键词：Ding-投射模稳定的t-结构右的Recollement

A recollement construction of Gorenstein derived categories: 《Frontiers of Mathematics in China》2018年第3期691-713,共23页Peng YU; Acknowledgements The author would like to thank his supervisor Professor Zhaoyong Huang, for the valuable help, suggestions, guidance, and encouragement during his studies and preparation of this paper. He also thanks the referees for their careful reading and for pointing out related references. This work was partially supported by the National Natural Science Foundation of China （Grant No. 11571164）.; We first give an equivalence between the derived category of a locally finitely presented category and the derived category of contravariant functors from its finitely presented subcategory to the category of abelian ...; 关键词：Recollements functor categories derived categories Gorenstein algebras weak excellent extension locally finitely presented categories

Algebraic K-theory of Gorenstein projective modules: 《Frontiers of Mathematics in China》2018年第1期55-66,共12页Ruixin LI Miantao LIU Nan GAO; We introduce the Gorenstein algebraic K-theory space and the Gorenstein algebraic K-group of a ring, and show the relation with the classical algebraic K-theory space, and also show the ＇resolution theorem＇ in this ...; 关键词：Frobenius pair Gorenstein projective module Gorenstein algebraicK-group idempotent complete category RECOLLEMENT

Homological Epimorphisms, Compactly Generated t-Structures and Gorenstein-Projective Modules被引量：3: 《Chinese Annals of Mathematics,Series B》2018年第1期47-58,共12页Nan GAO Xiaojing XU; The aim of this paper is two-fold.Given a recollement(T′,T,T′′,i*,i_*,i~!,j!,j*,j*),where T′,T,T′′are triangulated categories with small coproducts and T is compactly generated.First,the authors show that the BB...; 关键词：Compactly generated t-structure RECOLLEMENT BBD-induction BPP-induction Homological ring epimorphism Gorensteinprojective module

RECOLLEMENT