CLASSICAL PRIMARY SUBMODULES AND DECOMPOSITION THEORY OF MODULES

被引：18

作者：

Baziar, M. ^{[1
]}

Behboodi, M. ^{[1
,2
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2009年 / 8卷 / 03期

关键词：

Primary submodule; classical primary submodule; decomposition; RINGS;

D O I：

10.1142/S0219498809003369

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of classical primary submodules that generalizes the concept of primary ideals of commutative rings to modules. Existence and uniqueness of classical primary decompositions in finitely generated modules over one-dimensional Noetherian domains are proved.

引用

页码：351 / 362

页数：12

共 50 条

[21] Classical 2-Absorbing Submodules of Modules over Commutative Rings
Mostafanasab, Hojjat
Tekir, Unsal
Oral, Kursat Hakan
[J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, 8 (03): : 417 - 430
[22] Zariski topology on the spectrum of fuzzy classical primary submodules
Panpho, Phakakorn
Yiarayong, Pairote
[J]. APPLIED GENERAL TOPOLOGY, 2022, 23 (02): : 333 - 343
[23] On generalizations of classical primary submodules over commutative rings
Yiarayong, P.
Siripitukdet, M.
[J]. COGENT MATHEMATICS & STATISTICS, 2018, 5 (01):
[24] GOLDMANS PRIMARY DECOMPOSITION AND CLASSICAL PRIMARY DECOMPOSITION
HUDRY, A
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 280 (17): : 1089 - 1092
[25] Bounded submodules of modules
Schmidmeier, M
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2005, 203 (1-3) : 45 - 82
[26] SUBMODULES OF FREE MODULES
ISBELL, J
[J]. AMERICAN MATHEMATICAL MONTHLY, 1981, 88 (01): : 53 - 55
[27] Prime modules and submodules
Tiras, Y
Alkan, M
[J]. COMMUNICATIONS IN ALGEBRA, 2003, 31 (11) : 5253 - 5261
[28] Submodules of multiplication modules
Atani, SE
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2005, 9 (03): : 385 - 396
[29] RADICALS OF SUBMODULES IN MODULES
Yesilot, Gursel
[J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2010, 47 (04) : 445 - 447
[30] Submodules of direct sums of compressible modules submodules of direct sums of compressible modules
Smith, P. F.
Vedadi, M. R.
[J]. COMMUNICATIONS IN ALGEBRA, 2008, 36 (08) : 3042 - 3049

← 1 2 3 4 5 →