GENERALIZATIONS OF CS-MODULES

被引:85
|
作者
SMITH, PF
TERCAN, A
机构
[1] Department of Mathematics, University of Glasgow
关键词
D O I
10.1080/00927879308824655
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let R be a ring and M a right R-module. The module M is a CS-module, or satisfies (C1), if every submodule is essential in a direct summand of M. In this note we investigate two generalizations of CS-modules.
引用
收藏
页码:1809 / 1847
页数:39
相关论文
共 50 条
  • [41] H-SUPPLEMENTED MODULES AND GENERALIZATIONS OF QUASI-DISCRETE MODULES
    Kuratomi, Yosuke
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (07) : 2747 - 2759
  • [42] ON GENERALIZATIONS OF PROJECTIVITY FOR MODULES OVER DEDEKIND DOMAINS
    HAUSEN, J
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1981, 31 (AUG): : 207 - 216
  • [43] Rings whose CS modules are countably Σ-CS
    Er, N
    COMMUNICATIONS IN ALGEBRA, 2003, 31 (11) : 5513 - 5523
  • [44] Some Generalizations of Quasi-Projective Modules
    Kalebogaz, Berke
    Keskin-Tutuncu, Derya
    Smith, Patrick F.
    ALGEBRA COLLOQUIUM, 2015, 22 : 727 - 738
  • [45] On Multigraded Generalizations of Kirillov-Reshetikhin Modules
    Bianchi, Angelo
    Chari, Vyjayanthi
    Fourier, Ghislain
    Moura, Adriano
    ALGEBRAS AND REPRESENTATION THEORY, 2014, 17 (02) : 519 - 538
  • [46] Principally quasi-Baer modules and their generalizations
    Lee, Gangyong
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (10) : 4077 - 4094
  • [47] CS-Rickart Modules
    Abyzov, A. N.
    Nhan, T. H. N.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2014, 35 (04) : 317 - 326
  • [48] SIGMA-CS-MODULES
    DUNG, NV
    SMITH, PF
    COMMUNICATIONS IN ALGEBRA, 1994, 22 (01) : 83 - 93
  • [49] CS-Rickart modules
    Abyzov, A. N.
    Nhan, T. H. N.
    RUSSIAN MATHEMATICS, 2014, 58 (05) : 48 - 52
  • [50] On the Endomorphism Rings of Max CS and Min CS Modules
    Do Van Thuat
    Hoang Dinh Hai
    Nghiem, Nguyen D. Hoa
    Chairat, Sarapee
    INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICOMEIA2016), 2016, 1775