Projectivity of reflexive modules over regular rings

被引：0

作者：

Jothilingam, P. ^{[1
]}

Duraivel, T. ^{[2
]}

机构：

[1] Pondicherry Univ, Kurinji Nagar, Puducherry, India

[2] Pondicherry Univ, Dept Math, Pondicherry, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 02期

关键词：

Regular local rings; reflexive modules; projective dimension; depth;

D O I：

10.1142/S0219498816500316

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to examine the freeness of nonzero reflexive modules M and N over a regular local ring R, under the condition Ext(R)(1) (Hom(M, N), R) is zero.

引用

页数：5

共 50 条

[31] Projectivity of modules over Fourier algebras
Forrest, Brian E.
Lee, Hun Hee
Samei, Ebrahim
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2011, 102 : 697 - 730
[32] REGULAR MODULES AND RINGS
FIELDHOUSE, DJ
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1972, 16 (02) : 217 - +
[33] Characterizing rings in terms of the extent of the injectivity and projectivity of their modules
Lopez-Permouth, Sergio R.
Simental, Jose E.
[J]. JOURNAL OF ALGEBRA, 2012, 362 : 56 - 69
[34] Matlis reflexive modules on complete rings
Jara, P
Santos, E
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 106 (01) : 77 - 91
[35] CANCELLATION OF FINITELY GENERATED MODULES OVER REGULAR-RINGS
GOODEARL, KR
MONCASI, J
[J]. OSAKA JOURNAL OF MATHEMATICS, 1989, 26 (03) : 679 - 685
[36] A CONSTRUCTION OF REDUCED FILTRATIONS FOR REGULAR MODULES OVER FILTERED RINGS
VANDENESSEN, A
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 303 (15): : 741 - 743
[37] The structure of countably generated projective modules over regular rings
Ara, P
Pardo, E
Perera, F
[J]. JOURNAL OF ALGEBRA, 2000, 226 (01) : 161 - 190
[38] Cofiniteness of local cohomology modules over regular local rings
Chiriacescu, G
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 : 1 - 7
[39] Two problems of Ziegler and uniform modules over regular rings
Trlifaj, J
[J]. ABELIAN GROUPS AND MODULES: PROCEEDINGS OF THE INTERNATIONAL CONFERENCE AT COLORADO SPRINGS, 1996, 182 : 373 - 383
[40] Endomorphism rings of regular modules over wild hereditary algebras
Schmidt-Wegenast, C
[J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (02) : 715 - 725

← 1 2 3 4 5 →