On locally finite modules

被引：0

作者：

Mekei A. ^{[1
]}

Wisbauer R. ^{[2
]}

机构：

[1] National University of Mongolia, Ulaanbaatar

[2] Heinrich-Heine-University, Dusseldorf

来源：

Journal of Mathematical Sciences | 2005年 / 131卷 / 6期

关键词：

Finite Field; Polynomial Ring; Torsion Group; Finite Module; Abelian Torsion Group;

D O I：

10.1007/s10958-005-0462-y

中图分类号：

学科分类号：

摘要：

This paper is devoted to the study of locally finite modules M, i.e., modules whose finitely generated submodules are finite (as sets). In particular, we study rings which have faithful locally finite modules, for example, the polynomial rings ℤ [x] and F[x], where F is a finite field. Our results generalize the properties of Abelian torsion groups and the ring of integers. © 2005 Springer Science+Business Media, Inc.

引用

页码：6083 / 6097

页数：14

共 50 条

[21] Locally Tabular ≠ Locally Finite
Marcelino, Sergio
Rivieccio, Umberto
LOGICA UNIVERSALIS, 2017, 11 (03) : 383 - 400
[22] On Locally A-Convex Modules
Haralampidou, M.
Oudadess, M.
Palacios, L.
Signoret, C.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
[23] Nearly locally hollow modules
Abdullah, Nada Khalid
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 2293 - 2301
[24] Approximations and locally free modules
Slavik, Alexander
Trlifaj, Jan
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 : 76 - 90
[25] On Locally A-Convex Modules
M. Haralampidou
M. Oudadess
L. Palacios
C. Signoret
Mediterranean Journal of Mathematics, 2022, 19
[26] Finsler Locally C*-Modules
Joita, Maria
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (03)
[27] Locally nilpotent derivations on modules
Tanaka, Mikiya
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2009, 49 (01): : 131 - 159
[28] COINVARIANTS OF LOCALLY NILPOTENT MODULES
BENOIST, Y
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1988, 116 (04): : 413 - 429
[29] LOCALLY INJECTIVE TORSION MODULES
BRANDAL, W
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1986, 16 (01) : 17 - 22
[30] On locally F-semiregular and locally δ-semiregular modules
Jabbar, Adil Kadir
Hamaali, Payman Mahmood
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (45): : 873 - 893

← 1 2 3 4 5 →