COMPLETIONS OF COMMUTATIVE RINGS AND MODULES

被引：1
|
作者：
JARA, P
SANTOS, E
机构：
[1] Department of Algebra, University of Granada, Granada
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1995年 / 89卷 / 1-3期
关键词：
D O I：
10.1007/BF02808197
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we continue studying the notion of completion of R-modules, over a commutative ring R, relative to a torsion theory sigma. We develop some techniques relative to localization at prime ideals and give structural results on the completion of finitely generated R-modules, describing it as the product of classical completions on local noetherian rings.
引用
收藏
页码：141 / 155
页数：15
相关论文
共 50 条
  • [21] MODULES OVER COMMUTATIVE SEMIPRIME RINGS
    BEIDAR, KI
    MATHEMATICAL NOTES, 1981, 29 (1-2) : 9 - 10
  • [22] COMULTIPLICATION MODULES OVER COMMUTATIVE RINGS
    Al-Shaniafi, Yousef
    Smith, Patrick F.
    JOURNAL OF COMMUTATIVE ALGEBRA, 2011, 3 (01) : 1 - 29
  • [23] I-ADIC COMPLETIONS OF NON-COMMUTATIVE RINGS
    MCCONNELL, JC
    ISRAEL JOURNAL OF MATHEMATICS, 1979, 32 (04) : 305 - 310
  • [24] Rings of operators on modules over commutative rings and their right ideals
    Cannings, RC
    Holland, MP
    JOURNAL OF ALGEBRA, 1996, 186 (01) : 235 - 263
  • [25] LATTICE DECOMPOSITION OF MODULES OVER COMMUTATIVE RINGS
    Garcia, Josefa M.
    Jara, Pascual
    Santos, Evangelina
    JOURNAL OF COMMUTATIVE ALGEBRA, 2023, 15 (04) : 497 - 511
  • [26] The locally nilradical for modules over commutative rings
    Kyomuhangi, Annet
    Ssevviiri, David
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2020, 61 (04): : 759 - 769
  • [27] CF-modules over commutative rings
    Najim, Ahmed
    Charkani, Mohammed Elhassani
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2018, 59 (01): : 25 - 34
  • [28] COMULTIPLICATION MODULES OVER COMMUTATIVE RINGS II
    Al-Shaniafi, Yousef
    Smith, Patrick F.
    JOURNAL OF COMMUTATIVE ALGEBRA, 2012, 4 (02) : 153 - 174
  • [29] COMMUTATIVE RINGS WITH FLAT INJECTIVE MODULES ONLY
    QUENTEL, Y
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 280 (22): : 1491 - 1493
  • [30] COMMUTATIVE SEMI-RINGS WITH FLAT MODULES
    TUKAVKIN, LV
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1978, (05): : 60 - 62
12345