INJECTIVE

作品数：108被引量：119H指数：6
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相关作者：卜月华陈建龙杜先能佟文廷叶飘飘更多>>
相关机构：浙江师范大学南京师范大学东南大学安徽大学更多>>
相关期刊：《Algebra Colloquium》《浙江师范大学学报（自然科学版）》《Applied Mathematics and Mechanics(English Edition)》《Journal of Computer Science & Technology》更多>>
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Locally Self-Injective Property of FI^(m)
《Algebra Colloquium》2024年第1期97-110,共14页Duo Zeng 
partially supported by the National Natural Science Foundation of China(11771135)。
We consider the locally self-injective property of the product FI^(m) of category FI of finite sets and injections.Explicitly,we prove that the external tensor product commutes with the coinduction functor,and hence p...
关键词：self-injective property Serre quotient FI^(m)-modules 
Gorenstein n-X-Injective and n-X-Flat Modules with Respect to a Special Finitely Presented Module
《Algebra Colloquium》2021年第4期673-688,共16页Mostafa Amini Arij Benkhadra Driss Bennis 
supported by a scholarship from the Graduate Research Assistantships in Developing Countries Program of the Commission for Developing Countries of the International Mathematical Union.
Let R be a ring,X a class of R-modules and n≥1 an integer.We intro-duce the concepts of Gorenstein n-X-injective and n-X-flat modules via special finitely presented modules.Besides,we obtain some equivalent propertie...
关键词：n-X-coherent ring Gorenstein n-X-injective module Gorenstein module 
Universal Deformation Rings of Modules over Self-injective Cluster-Tilted Algebras Are Trivial
《Algebra Colloquium》2021年第2期269-280,共12页I.D.M.Gaviria JoséA.Vélez-Marulanda Peng Shan 
supported by the Release Time for Research Scholarship of the Office of Academic Affairs and by the Faculty Research Seed Grant funded by the Office of Sponsored Programs;Research Administration at the Valdosta State University as well as partly supported by CODI and Estrategia de Sostenibilidad(Universidad de Antioquia,UdeA).
Let k be a fixed algebraically closed field of arbitrary characteristic,let Λ be a finite dimensional self-injective k-algebra,and let ∨ be an indecomposable non-projective left Λ-module with finite dimension over ...
关键词：self-injective cluster tilted algebras Frobenius algebras (uni)versal deformation rings 
Remarks on Gorenstein Weak Injective and Weak Flat Modules被引量：7
《Algebra Colloquium》2020年第4期687-702,共16页Tiwei Zhao Yunge Xu 
This work was partially supported by NSFC(Grant Nos.11571164 and 11571341).
In this paper,we introduce Gorenstein weak injective and weak flat modules in terms of,respectively,weak injective and weak flat modules;the classes of Gorenstein weak injective and weak flat modules are larger than t...
关键词：weak injective module weak flat module Gorenstein weak injective module Gorenstein weak flat module cosyzygy 
A Note on DG-Gorenstein Injective Complexes被引量：4
《Algebra Colloquium》2020年第4期731-740,共10页Bo Lu Kaiyang Lan 
This work was supported by the National Natural Science Foundation of China(grant no.11501451);the Funds for Talent Introduction of Northwest Minzu University(grant no.XBMUYJRC201406).
The notion of DG-Gorenstein injective complexes is studied in this article.It is shown that a complex G is DG-Gorenstein injective if and only if G is exact with Z_(n)(G)Gorenstein injective in R-Mod for each n∈Zand ...
关键词：Gorenstein injective module DG-injective complex DG-Gorenstein injective complex 
FPn-Injective, FPn-Flat Covers and Preenvelopes, and Gorenstein AC-Flat Covers被引量：15
《Algebra Colloquium》2018年第2期319-334,共16页Daniel Bravo Sergio Estrada Alina Iacob 
We prove that, for any n 〉 2, the classes of FPn-injective modules and of FPn-flat modules are both covering and preenveloping over any ring R. This includes the case of FP∞-injective and FP∞-flat modules （i.e., a...
关键词：FPn-injective module FPn-flat module Ding injective module GorensteinAC-flat module 
C3-Modules被引量：11
《Algebra Colloquium》2015年第4期655-670,共16页Ismail Amin Yasser Ibrahim Mohamed Yousif 
One of the continuity conditions identified by Utumi on self-injective rings is the C3-condition, where a module M is called a C3-module if whenever A and B are direct summands of M and A A B = 0, then A B is a summa...
关键词：injective and quasi-injective modules C2-modules and C3-modules 
Gorenstein Injective and Injective Complete Cohomological Dimensions of Groups
《Algebra Colloquium》2015年第3期469-478,共10页Abdolnaser Bahlekeh 
Using Nucinkis＇s injective complete cohomological functors, we assign a numerical invariant to each group P, called the injective complete cohomological dimension of F, denoted by iccd P. We study this dimension and ...
关键词：I-complete cohomology complete injective resolution Gorenstein injective modules 
On n-Coherent Rings and （n, d）-Injective Modules被引量：1
《Algebra Colloquium》2015年第2期349-360,共12页Dongdong Zhang Baiyu Ouyang 
Let R be a ring, n, d be fixed non-negative integers, Jn,d the class of （n, d）- injective left R-modules, and Fn,d the class of （n, d）-flat right R-modules. In this paper, we prove that if R is a left n-coherent r...
关键词：（n d）-injective left R-module （n d）-flat right R-module left n-coherent ring 
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