WEAK MULTIPLICATION MODULES OVER A PULLBACK OF DEDEKIND DOMAINS

被引：14

作者：

Atani, S. Ebrahimi ^{[1
]}

Farzalipour, F. ^{[1
]}

机构：

[1] Univ Guilan, Dept Math, Rasht, Iran

来源：

COLLOQUIUM MATHEMATICUM | 2009年 / 114卷 / 01期

关键词：

pullback; separated; non-separated; weak multiplication; Dedekind domain; pure-injective module; Prufer modules;

D O I：

10.4064/cm114-1-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be the pullback, in the sense of Levy [J. Algebra 71 (1981)], of two local Dedekind domains. We classify all those indecomposable weak multiplication R-modules M with finite-dimensional top, that is, such that M/Rad(R)M is finite-dimensional over R/Rad(R). We also establish a connection between the weak multiplication modules and the pure-injective modules over such domains.

引用

页码：99 / 112

页数：14

共 31 条

[1] Assem Ibrahim, 2007, LONDON MATH SOC STUD, V65
[2] On pure-injective modules over pullback rings
Atani, SE
[J]. COMMUNICATIONS IN ALGEBRA, 2000, 28 (09) : 4037 - 4069
[3] On prime modules over pullback rings
Atani, SE
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (03) : 781 - 789
[4] Atani SE, 2002, COMMUN ALGEBRA, V30, P2675
[5] Weak multiplication modules
Azizi, A
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2003, 53 (03) : 529 - 534
[6] Pure-injective modules over the dihedral algebras
Baratella, S
Prest, M
[J]. COMMUNICATIONS IN ALGEBRA, 1997, 25 (01) : 11 - 31
[7] Bass H., 1962, T AM MATH SOC, V162, P319
[8] Bass Hyman, 1963, Math. Z., V82, P8
[9] Ebrahimi Atani S., 2001, Southeast Asian Bull. Math, V25, P1, DOI 10.1007/s10012-001-0001-9
[10] MULTIPLICATION MODULES
ELBAST, ZA
SMITH, PF
[J]. COMMUNICATIONS IN ALGEBRA, 1988, 16 (04) : 755 - 779

← 1 2 3 4 →