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作品数：8被引量：10H指数：1
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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 
Modules Whose Endomorphism Rings Are (m, n)-Coherent被引量：1
《Algebra Colloquium》2019年第2期231-242,共12页Xiaoqiang Luo Lixin Mao 
Let M be a right R-module with endomorphism ring S. We study the left (m, n)-coherence of S. It is shown that S is a left (m, n)-coherent ring if and only if the left annihilator annMn(S)(X)annMn(S)(X) is a finitely g...
关键词：M-(m n)-flat module (m n)-coherent RING n-semihereditary RING PREENVELOPE 
A Generalization of Gorenstein Injective and Flat Modules
《Communications in Mathematical Research》2016年第4期339-351,共13页LU BO Du Xian-kun 
The NSF(11501451)of China;the Fundamental Research Funds(31920150038)for the Central Universities and XBMUYJRC(201406)
In this article, we introduce and study the concept of n-Gorenstein injective （resp., n-Gorenstein flat） modules as a nontrivial generalization of Gorenstein injective （resp., Gorenstein flat） modules. We invest...
关键词：n-injective module n-flat module n-Gorenstein injective module n- Gorenstein flat module PREENVELOPE COVER 
Gorenstein Projective Dimensions of Complexes被引量：8
《Acta Mathematica Sinica,English Series》2011年第7期1395-1404,共10页Zhong Kui LIU Chun Xia ZHANG 
Supported by National＇ Natural Science Foundation of China （Grant No. 10961021）, TRAPOYT and the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China
We show that over a right coherent left perfect ring R, a complex C of left R-modules is Gorenstein projective if and only if C^m is Gorenstein projective in R-Mod for all m E Z. Basing on this we show that if R is a ...
关键词：Gorenstein projective complex Gorenstein projective module Gorenstein projective dimension projective preenvelope 
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 （m, n）-Coherent Modules and Preenvelopes
《Journal of Mathematical Research and Exposition》2008年第1期57-66,共10页SONG Xian-mei1 CHEN Jian-long 
the National Natural Science Foundation of China （No. 10571026）; the Natural Science Foundation of Anhui Provincial Education Department （No. 2006kj050c）; Doctoral Foundation of Anhui Normal University.
In this paper, let m, n be two fixed positive integers and M be a right R-module, we define （m, n）-M-flat modules and （m, n）-coherent modules. A right R-module F is called （m, n）-M-flat if every homomorphism fro...
关键词：（m  n）-M-flat module （m  n）-coherent module （m  n）-M-flat 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 
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