S-T-CORETRACTABLE MODULES

被引:0
作者
Dia, Mouhamadou Lamine [1 ]
Diop, Papa Cheikhou [2 ]
Diallo, Abdoul Djibril [1 ]
Barry, Mamadou [1 ]
机构
[1] Univ Cheikh Anta Diop Dakar, Dept Math & Informat, Fac Sci & Tech, Dakar, Senegal
[2] Univ Iba Der Thiam Thies, Dept Math, Dakar, Senegal
来源
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2021年 / 52卷 / 01期
关键词
strongly coretractable modules; strongly c-coretractable modules; t-extending modules;
D O I
10.17654/NT052010001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let R be a ring with identity and M be an R-module with unitary. In this paper, we introduce the notion of S-T-coretractable module. Some basic properties of this class of modules are investigated and some relationships between these modules and other related concepts are introduced.
引用
收藏
页码:1 / 15
页数:15
相关论文
共 22 条
  • [1] Al-Saadi S. A, 2007, S EXTENDING MODULES
  • [2] CORETRACTABLE MODULES
    Amini, B.
    Ershad, M.
    Sharif, H.
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2009, 86 (03) : 289 - 304
  • [3] Anderson W., 1992, RINGS CATEGORIES MOD
  • [4] [Anonymous], 1994, EXTENDING MODULES
  • [5] T-continuous modules
    Asgari, Sh.
    [J]. COMMUNICATIONS IN ALGEBRA, 2017, 45 (05) : 1941 - 1952
  • [6] t-Rickart and Dual t-Rickart Modules
    Asgari, Sh.
    Haghany, A.
    [J]. ALGEBRA COLLOQUIUM, 2015, 22 : 849 - 870
  • [7] T-SEMISIMPLE MODULES AND T-SEMISIMPLE RINGS
    Asgari, Sh.
    Haghany, A.
    Tolooei, Y.
    [J]. COMMUNICATIONS IN ALGEBRA, 2013, 41 (05) : 1882 - 1902
  • [8] t-EXTENDING MODULES AND t-BAER MODULES
    Asgari, Sh.
    Haghany, A.
    [J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (05) : 1605 - 1623
  • [9] Modules whose t-closed submodules are their homomorphic images
    Diallo, Abdoul Djibril
    Diop, Papa Cheikhou
    [J]. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2020, 23 (06) : 1297 - 1314
  • [10] C4-Modules
    Ding, Nanqing
    Ibrahim, Yasser
    Yousif, Mohamed
    Zhou, Yiqiang
    [J]. COMMUNICATIONS IN ALGEBRA, 2017, 45 (04) : 1727 - 1740