Balance in complete cohomology

被引:3
|
作者
Emmanouil, Ioannis [1 ]
机构
[1] Univ Athens, Dept Math, Athens 15784, Greece
关键词
RINGS;
D O I
10.1016/j.jpaa.2013.08.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The balance of complete cohomology for modules that admit complete resolutions has been established by Christensen and Jorgensen (2013), as well as by Enochs, Estrada and Iacob (2012), by using two types of constructions on a given bicomplex. In this paper, we show that these constructions are closely related to each other. We also present an alternative proof of balance, which is based on the corresponding assertion for ordinary cohomology. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:618 / 623
页数:6
相关论文
共 50 条
  • [1] BALANCE OF COMPLETE COHOMOLOGY IN EXTRIANGULATED CATEGORIES
    Hu, Jiangsheng
    Zhang, Dongdong
    Zhao, Tiwei
    Zhou, Panyue
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (05): : 3341 - 3359
  • [2] On the zeroeth complete cohomology
    Dembegioti, F
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2005, 203 (1-3) : 119 - 132
  • [3] Balance in generalized TATE cohomology
    Iacob, A
    COMMUNICATIONS IN ALGEBRA, 2005, 33 (06) : 2009 - 2024
  • [4] Balance for relative cohomology of complexes
    Di, Zhenxing
    Lu, Bo
    Zhao, Junxiu
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (01)
  • [5] Complete Cohomology for Extriangulated Categories
    Hu, Jiangsheng
    Zhang, Dongdong
    Zhao, Tiwei
    Zhou, Panyue
    ALGEBRA COLLOQUIUM, 2021, 28 (04) : 701 - 720
  • [6] Complete cohomology and Gorensteinness of schemes
    Asadollahi, J.
    Jahanshahi, F.
    Salarian, Sh.
    JOURNAL OF ALGEBRA, 2008, 319 (06) : 2626 - 2651
  • [7] Balance of Tate cohomology in triangulated categories
    Ren, Wei
    Liu, Zhongkui
    APPLIED CATEGORICAL STRUCTURES, 2015, 23 (06) : 819 - 828
  • [8] Remarks on balance in generalized Tate cohomology
    Alina Iacob
    Archiv der Mathematik, 2005, 85 : 335 - 344
  • [9] Remarks on balance in generalized Tate cohomology
    Iacob, A
    ARCHIV DER MATHEMATIK, 2005, 85 (04) : 335 - 344
  • [10] Balance of Tate cohomology in triangulated categories
    Wei Ren
    Zhongkui Liu
    Applied Categorical Structures, 2015, 23 : 819 - 828