Strict Mittag-Leffler Conditions on Gorenstein Modules

被引：4
|
作者：
Yang, Yanjiong [1 ]
Zhu, Xiaosheng [1 ]
Yan, Xiaoguang [2 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210008, Jiangsu, Peoples R China
[2] Nanjing Xiaozhuang Univ, Sch Math & Informat Technol, Nanjing 211171, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 04期
关键词：
Direct limit; Gorenstein module; Strict Mittag-Leffler condition; HOMOLOGICAL DIMENSIONS; FLAT MODULES; RINGS;
D O I：
10.1080/00927872.2015.1027380
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we investigate the relations between Gorenstein projective modules and Gorenstein flat modules in terms of strict Mittag-Leffler condition. We give some conditions under which Gorenstein projectives are Gorenstein flat, and discuss when the direct limits of Gorenstein projective modules are Gorenstein flat. Moreover, we study the dual of Gorenstein injective modules with strict Mittag-Leffler condition.
引用
收藏
页码：1754 / 1766
页数：13
相关论文
共 50 条
  • [1] Strict Mittag-Leffler Conditions and Gorenstein Modules
    Yanjiong Yang
    Xiaoguang Yan
    Xiaosheng Zhu
    [J]. Algebras and Representation Theory, 2016, 19 : 1451 - 1466
  • [2] Strict Mittag-Leffler Conditions and Gorenstein Modules
    Yang, Yanjiong
    Yan, Xiaoguang
    Zhu, Xiaosheng
    [J]. ALGEBRAS AND REPRESENTATION THEORY, 2016, 19 (06) : 1451 - 1466
  • [3] Strict Mittag-Leffler modules over Gorenstein injective modules
    Yang, Yanjiong
    Yan, Xiaoguang
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (03)
  • [4] Strict Mittag-Leffler modules
    Guil Asensio, Pedro A.
    Izurdiaga, Manuel C.
    Rothmaler, Philipp
    Torrecillas, Blas
    [J]. MATHEMATICAL LOGIC QUARTERLY, 2011, 57 (06) : 566 - 570
  • [5] Mittag-Leffler Conditions on Modules
    Angeleri Hugel, Lidia
    Herbera, Dolors
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (05) : 2459 - 2517
  • [6] Decomposition properties of strict Mittag-Leffler modules
    Asensio, P. A. Guil
    Izurdiaga, M. C.
    Torrecillas, B.
    [J]. JOURNAL OF ALGEBRA, 2007, 310 (01) : 290 - 302
  • [7] Mittag-Leffler conditions and projectively coresolved Gorenstein flat tilting modules
    Su, Jingrui
    Yang, Yanjiong
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [8] Strict Mittag-Leffler modules and purely generated classes
    Rothmaler, Philipp
    [J]. CATEGORICAL, HOMOLOGICAL AND COMBINATORIAL METHODS IN ALGEBRA, 2020, 751 : 303 - 327
  • [9] Mittag-Leffler modules
    Rothmaler, P
    [J]. ANNALS OF PURE AND APPLIED LOGIC, 1997, 88 (2-3) : 227 - 239
  • [10] Almost free modules and Mittag-Leffler conditions
    Herbera, Dolors
    Trlifaj, Jan
    [J]. ADVANCES IN MATHEMATICS, 2012, 229 (06) : 3436 - 3467
12345