On projective modules over polynomial rings

被引：0

作者：

陈焕艮

机构：

[1] Mathematics Department

[2] China

[3] Hunan Normal University

[4] Changsha 410006

来源：

Science Bulletin | 1995年 / 02期

基金：

中国国家自然科学基金;

关键词：

Serre problem; Grothendieck group; regular ring;

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

摘要：

In 1955, Serre gave an open problem on freeness of projective modules over polynomial ring over a field. In fact, it was proved by Serre in 1958 that if P is a finitely generated projective module over R[x,…, x], then P is stably isomorphic to a free module.

引用

页码：102 / 104

页数：3

共 50 条

[1] On projective modules over polynomial rings
Lequain, Y
Mahdou, N
[J]. COMMUTATIVE RING THEORY AND APPLICATIONS, 2003, 231 : 335 - 348
[2] PROJECTIVE MODULES OVER POLYNOMIAL RINGS
ROITMAN, M
[J]. JOURNAL OF ALGEBRA, 1979, 58 (01) : 51 - 63
[3] PROJECTIVE MODULES OVER POLYNOMIAL RINGS
QUILLEN, D
[J]. INVENTIONES MATHEMATICAE, 1976, 36 : 167 - 171
[4] Projective Modules Over Polynomial Rings
Yengui, Ihsen
[J]. CONSTRUCTIVE COMMUTATIVE ALGEBRA: PROJECTIVE MODULES OVER POLYNOMIAL RINGS AND DYNAMICAL GROBNER BASES, 2015, 2138 : 9 - 103
[5] PROJECTIVE MODULES OVER LAURENT POLYNOMIAL RINGS
SWAN, RG
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 237 (MAR) : 111 - 120
[6] PROJECTIVE MODULES OVER A CLASS OF POLYNOMIAL RINGS
MURTHY, MP
[J]. MATHEMATISCHE ZEITSCHRIFT, 1965, 88 (02) : 184 - &
[7] PROJECTIVE MODULES OVER A CLASS OF POLYNOMIAL RINGS
MAROSCIA, P
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 285 (04): : 183 - 185
[8] PROJECTIVE MODULES OVER SOME POLYNOMIAL RINGS
KANG, MC
[J]. JOURNAL OF ALGEBRA, 1979, 59 (01) : 65 - 76
[9] Projective modules over overrings of polynomial rings
Dhorajia, Alpesh M.
Keshari, Manoj K.
[J]. JOURNAL OF ALGEBRA, 2010, 323 (02) : 551 - 559
[10] ON PROJECTIVE-MODULES OVER POLYNOMIAL-RINGS
CHEN, HY
[J]. CHINESE SCIENCE BULLETIN, 1995, 40 (02): : 102 - 104

← 1 2 3 4 5 →