Some patching results on algebras over two-dimensional factorial domains

被引：3

作者：

Dutta, Amartya K. ^{[2
]}

Gupta, Neena ^{[2
]}

Onoda, Nobuharu ^{[1
]}

机构：

[1] Univ Fukui, Dept Math, Fukui 9108507, Japan

[2] Indian Stat Inst, Stat Math Unit, Kolkata 700108, India

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2012年 / 216卷 / 07期

关键词：

D O I：

10.1016/j.jpaa.2012.01.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R = k[x, y] be the polynomial ring in two variables over a field k. We investigate the structure and properties of R-algebras A which are obtained as A = A(x) boolean AND A(y) where A(x) and A(y) are polynomial algebras in one variable over R-x and R-y respectively. Most of our results hold when R is a two-dimensional UFD and x, y is an R-regular sequence generating a maximal ideal of R. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1667 / 1679

页数：13

共 7 条

[1] Kernel of locally nilpotent R-derivations of R[X,Y] [J].

Bhatwadekar, SM ;

Dutta, AK .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (08) :3303-3319

[2] A counterexample to Hilbert's Fourteenth Problem in dimension 5 [J].

Daigle, D ;

Freudenburg, G .

JOURNAL OF ALGEBRA, 1999, 221 (02) :528-535

[3]

Dutta AK, 2005, CONTEMP MATH, V390, P85

[4] Some results on codimension-one A1-fibrations [J].

Dutta, Amartya K. ;

Onoda, Nobuharu .

JOURNAL OF ALGEBRA, 2007, 313 (02) :905-921

[5]

Fossum R.M., 1973, Springer Ergebnisse, V74

[6]

Kaplansky I., 1970, COMMUTATIVE RINGS, px+180

[7]

Onoda Nobuharu, 1984, Jpn. J. Math. New Ser., V10, P29

← 1 →