PRECOVER

作品数:9被引量:3H指数:1
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相关作者:陈建龙刘仲奎曾月迪赖弋新平艳茹更多>>
相关机构:东南大学西北师范大学山东大学青岛大学更多>>
相关期刊:《Science China Mathematics》《数学的实践与认识》《西北师范大学学报(自然科学版)》《Acta Mathematica Scientia》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更多>>
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Verdier quotients of homotopy categories of rings and Gorenstein-projective precovers
《Science China Mathematics》2024年第12期2701-2712,共12页Manuel Cortes-Izurdiaga 
supported by the Spanish Government (Grant No. PID2020-113206GBI00, funded by MCIN/AEI/10.13039/501100011033);Junta de Andalucia (Grant No. P20-00770)。
Let R be a ring, Proj be the class of all the projective right R-modules, K be the full subcategory of the homotopy category K(Proj) whose class of objects consists of all the totally acyclic complexes, and MorK be th...
关键词:homotopy category Gorenstein-projective precover Verdier quotient small Hom-sets totally acyclic complex 
T_C-Gorenstein Projective,L_C-Gorenstein Injective and H_C-Gorenstein Flat Modules
《Chinese Annals of Mathematics,Series B》2014年第1期115-124,共10页Zhen ZHANG Xiaosheng ZHU Xiaoguang YAN 
Project supported by the National Natural Science Foundation of China(No.10971090)
The authors introduce and investigate the Tc-Gorenstein projective, Lc- Gorenstein injective and Hc-Gorenstein flat modules with respect to a semidualizing module C which shares the common properties with the Gorenste...
关键词:Tc-Gorenstein projective module C-Gorenstein projective module Semidualizing module Foxby equivalence PRECOVER Preenvclope 
关于内射维数有限的cotilting余模
《数学的实践与认识》2011年第8期182-188,共7页樊春燕 姚海楼 平艳茹 
国家自然科学基金(10971172);北京市自然科学基金(1092002);北京工业大学自然科学基础科研基金
令K是域,设C是一个K-余代数,T为cotilting左C-余模,通过对cotilting余模的性质和理论的研究,得到关于cotilting余模的一些有意义的结果.
关键词:cotilting余模 PREENVELOPE PRECOVER CogenT 
On Gorenstein FP-injective modules被引量:1
《Journal of Southeast University(English Edition)》2011年第1期115-118,共4页曾月迪 陈建龙 
The National Natural Science Foundation of China (No.10971024);Specialized Research Fund for the Doctoral Program of Higher Education (No. 200802860024)
An R-module M is called Gorenstein FP-injective if there is an exact sequence …→E1→E0→E^0→E^1→… of FP-injective R-modules with M=ker(E^0→E^1) and such that Hom(E,-) leaves the sequence exact whenever E is ...
关键词:coherent ring Gorenstein FP-injective dimension Gorenstein FP-injective precover Gorenstein FP-injective preenvelope 
ON ALMOST PRECOVERS AND ALMOST PREENVELOPES
《Acta Mathematica Scientia》2006年第3期395-400,共6页毛立新 丁南庆 佟文廷 
This research was partially supported by the Specialized Research Fund for the Doctoral Program of Higher ducation of China (20020284009, 20030284033) NSF of China (10331030) Jiangsu Planned Projects for Postdoctoral Research Funds (0203003403)the Postdoctoral Research Funds of China (2006037713)and the Nanjing Institute of Technology of China.
Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a ...
关键词:Almost precover almost preenvelope 
INJECTIVE PRECOVERS AND MODULES OF GENERALIZED INVERSE POLYNOMIALS被引量:1
《Chinese Annals of Mathematics,Series B》2004年第1期129-138,共10页LIUZHONGKUI 
the National Natural Science Foundation of China (No.10171082); the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of the Ministry of Education of China and NWNU-KJCXGC212.
This paper is motivated by S. Park [10] in which the injective cover of left R[x]- module M[x? ] of inverse polynomials over a left R-module M was discussed. The 1 author considers the ?-covers of modules and shows th...
关键词:Injective precover  ■-cover  Module of generalized inverse polynomials Ring of generalized power series 
Noether环上的余平坦Precover和强Precover
《烟台师范学院学报(自然科学版)》2003年第1期14-16,共3页赖弋新 
给出了余平坦模的Precover和强Precover的概念,并给出相关的性质.
关键词:NOETHER环 余平坦模 余平坦Precover 余平坦强Precove 结合环 右R-模 R-同态 
内射强Precover被引量:1
《数学杂志》1991年第4期378-386,共9页刘仲奎 
1 引言设 R 是有单位元的结合环,我们约定:除了特别声明外,R-模均指右 R 模,Noethe-r 环指右 Noether 环,E(M)表示模 M 的内射包.设 M 是 R-模,E 是内射 R 模,根据 Enochs[1],E 以及 R-同态(?)∶E→M 叫 M的内射 Precover,如果对任意的...
关键词:内射强cover R模  满射 
Grothendieck范畴中的内射Precover和内射Cover
《西北师范大学学报(自然科学版)》1989年第3期8-15,共8页刘仲奎 
本文在 Grothendieck 范畴中引入了内射 Precover 及内射 Cover 的概念,讨论了其性质,并给出了存在的充要条件.[2]、[3]中关于模范畴的一些结果可以看成是本文结果之特款.
关键词:范畴 内射 PRECOVER COVER 
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