Submodules of multiplication modules

被引：3
|
作者：
Atani, SE [1 ]
机构：
[1] Univ Guilan, Dept Math, Rasht, Iran
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2005年 / 9卷 / 03期
关键词：
multiplication modules; greatest common divisor; least common multiple;
D O I：
10.11650/twjm/1500407847
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a commutative ring with identity (zero-divisors admitted). Various properties of submodules a multiplication module are considered. In fact, our aim here is to generalize some of the results in the paper listed as [1], from finitely generated faithful multiplication ideals to finitely generated faithful multiplication modules.
引用
收藏
页码：385 / 396
页数：12
相关论文
共 50 条
  • [1] Comultiplication submodules of multiplication modules
    Ali, Majid M.
    Al-Kharousi, F.
    [J]. COMMUNICATIONS IN ALGEBRA, 2020, 48 (11) : 4832 - 4845
  • [2] Dense submodules of multiplication modules
    Naoum, AG
    AlAlwan, FH
    [J]. COMMUNICATIONS IN ALGEBRA, 1996, 24 (02) : 413 - 424
  • [3] Ideals and submodules of multiplication modules
    Lee, SC
    Kim, S
    Chung, SC
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (05) : 933 - 948
  • [4] PRIMAL SUBMODULES OF MULTIPLICATION MODULES
    Atani, S. Ebrahimi
    Darani, A. Yousefian
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2009, 40 (01): : 15 - 18
  • [5] Idempotent and Nilpotent Submodules of Multiplication Modules
    Ali, Majid M.
    [J]. COMMUNICATIONS IN ALGEBRA, 2008, 36 (12) : 4620 - 4642
  • [6] SEMIPRIME SUBMODULES OF GRADED MULTIPLICATION MODULES
    Lee, Sang Cheol
    Varmazyar, Rezvan
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (02) : 435 - 447
  • [7] ON LEFT RESIDUALS OF SUBMODULES IN FULLY MULTIPLICATION MODULES
    Wijayanti, Indah Emilia
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2015, 36 (01): : 17 - 28
  • [8] Some applications of the product of submodules in multiplication modules
    Azizi, A.
    Jayaram, C.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2012, 35 (A4): : 273 - 277
  • [9] Graded Primary Submodules over Multiplication Modules
    Bataineh, Malik
    Khazaaleh, Ala' Lutfi
    [J]. INTERNATIONAL CONFERENCE ON MATERIALS, ALLOYS AND EXPERIMENTAL MECHANICS (ICMAEM-2017), 2017, 225
  • [10] Some remarks on dense submodules of multiplication modules
    Tiras, Y
    Harmanci, A
    Smith, PF
    [J]. COMMUNICATIONS IN ALGEBRA, 2000, 28 (05) : 2291 - 2296
12345