When every finitely generated flat module is projective

被引：21

作者：

Puninski, G ^{[1
]}

Rothmaler, P ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Lima, OH 45804 USA

来源：

JOURNAL OF ALGEBRA | 2004年 / 277卷 / 02期

关键词：

flat module; projective module;

D O I：

10.1016/j.jalgebra.2003.10.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：542 / 558

页数：17

共 18 条

[1] ON PRIME SUBMODULES OF A FINITELY GENERATED PROJECTIVE MODULE OVER A COMMUTATIVE RING
Nekooei, Reza
Pourshafiey, Zahra
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (03): : 729 - 741
[2] When does every simple module have a projective envelope?
Mao, Lixin
COMMUNICATIONS IN ALGEBRA, 2007, 35 (05) : 1505 - 1516
[3] NOTES ON FINITELY GENERATED FLAT MODULES
Tarizadeh, Abolfazl
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (02) : 419 - 427
[4] On finitely generated projective modules and exchange rings
Wu, TS
Chen, PW
ALGEBRA COLLOQUIUM, 2002, 9 (04) : 433 - 444
[5] Rings for which every cosingular module is projective
Talebi, Y.
Hamzekolaee, A. R. M.
Hosseinpour, M.
Harmanci, A.
Ungor, B.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 48 (04): : 973 - 984
[6] FINITELY GENERATED G-PROJECTIVE MODULES OVER PVMDS
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BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (03) : 803 - 813
[7] Flat modules and rings finitely generated as modules over their center
Tuganbaev, AA
MATHEMATICAL NOTES, 1996, 60 (1-2) : 186 - 203
[8] Non-finitely generated projective modules over generalized Weyl algebras
Prihoda, Pavel
Puninski, Gena
JOURNAL OF ALGEBRA, 2009, 321 (04) : 1326 - 1342
[9] On the number of generators of a projective module
Upadhyay, Sumit Kumar
Kumar, Shiv Datt
Sridharan, Raja
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2013, 123 (04): : 469 - 478
[10] On the number of generators of a projective module
SUMIT KUMAR UPADHYAY
SHIV DATT KUMAR
RAJA SRIDHARAN
Proceedings - Mathematical Sciences, 2013, 123 : 469 - 478

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