Prime and primary submodules of certain modules

被引:0
|
作者
Amini, A. [1 ]
Amini, B. [1 ]
Sharif, H. [1 ]
机构
[1] Shiraz Univ, Coll Sci, Dept Math, Shiraz 71454, Iran
关键词
prime submodules; primary submodules; primary decomposition;
D O I
10.1007/s10587-006-0044-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we characterize all prime and primary sub-modules of the free R-module R-n for a principal ideal domain R and find the minimal primary decomposition of any submodule of R-n. In the case n = 2, we also determine the height of prime submodules.
引用
收藏
页码:641 / 648
页数:8
相关论文
共 50 条
  • [21] On graded prime and primary submodules
    Oral, Kursat Hakan
    Tekir, Unsal
    Agargun, Ahmet Goksel
    TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (02) : 159 - 167
  • [22] On prime submodules and primary decomposition
    Tiras, Y
    Harmanci, A
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2000, 50 (01) : 83 - 90
  • [23] On prime submodules and primary decomposition
    Yücel Tiras
    Abdullah Harmanci
    Czechoslovak Mathematical Journal, 2000, 50 : 83 - 90
  • [24] Associated prime submodules of finitely generated modules
    Divaani-aazar, K
    Esmkhani, MA
    COMMUNICATIONS IN ALGEBRA, 2005, 33 (11) : 4259 - 4266
  • [25] On Prime and Weakly Prime LA-submodules of LA-modules
    Yiarayong, Pairote
    BOLETIN DE MATEMATICAS, 2019, 26 (02): : 101 - 112
  • [26] CERTAIN APPLICATIONS OF MODULES THAT ARE DIRECT SUMS OF SUBMODULES
    GUY, RA
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1968, 266 (03): : 128 - &
  • [27] Prime and radical submodules of free modules over a PID
    Hedayat, S.
    Nekooei, R.
    HOUSTON JOURNAL OF MATHEMATICS, 2006, 32 (02): : 355 - 367
  • [28] Prime submodules, the descent invariant, and modules of finite length
    Marcelo, A
    Masque, JM
    JOURNAL OF ALGEBRA, 1997, 189 (02) : 273 - 293
  • [29] Prime Submodules of Regular Modules Over Commutative Rings
    Ershad, M.
    Amiri, N.
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2011, 36 (06): : 963 - 966
  • [30] Prime Submodules of Regular Modules Over Commutative Rings
    M. Ershad
    N. Amiri
    Arabian Journal for Science and Engineering, 2011, 36 : 963 - 966