On Principal Ideal Multiplication Modules

被引：2

作者：

Azizi, A. ^{[1
]}

Jayaram, C. ^{[2
]}

机构：

[1] Shiraz Univ, Coll Sci, Shiraz, Iran

[2] Univ West Indies, Cave Hill, Barbados

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2017年 / 69卷 / 03期

关键词：

LATTICES; RINGS;

D O I：

10.1007/s11253-017-1367-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a commutative ring with identity and let M be a unitary R-module. A submodule N of M is said to be a multiple of M if N = rM for some r oee- R. If every submodule of M is a multiple of M, then M is said to be a principal ideal multiplication module. We characterize principal ideal multiplication modules and generalize some results from [A. Azizi, "Principal ideal multiplication modules," Algebra Colloq., 15, 637-648 (2008)].

引用

页码：337 / 347

页数：11

共 21 条

[11] 2-join decomposition lattices [J].

Jayaram, C .

ALGEBRA UNIVERSALIS, 2001, 45 (01) :7-13

[12]

Jayaram C., 2009, TURKISH J MATH, V33, P1

[13] ARITHMETICAL RINGS [J].

JENSEN, CU .

ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1966, 17 (1-2) :115-&

[14]

Johnson J. A., 1989, MATH JPN, V35, P761

[15]

Larsen M. D., 1971, Pure and Applied Mathematics, V43

[16]

LOW GM, 1990, COMMUN ALGEBRA, V18, P4353

[17] PRINCIPAL ELEMENTS OF LATTICES OF IDEALS [J].

MCCARTHY, PJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 30 (01) :43-&

[18]

Mott J. L., 1969, J SCI HIROSHIMA A1 M, V33, P73, DOI DOI 10.32917/HMJ/1206138588

[19]

Northcott D. G., 1968, LESSONS RINGS MODULE

[20]

SHAHABADDIN EA, 2007, INT J ALGEBRA, V1, P381

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