文章基本信息
- 标题：Nagata rings and directed unions of Artinian subrings
- 本地全文：下载
- 作者：D. Karim
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：2003
- 卷号：2003
- 期号：71
- 页码：4465-4471
- DOI：10.1155/S0161171203210693
- 出版社：Hindawi Publishing Corporation
- 摘要：
We investigate when a Nagata ring R ( X ) can be written as a directed union of Artinian subrings. For a family of zero-dimensional rings { R α } α ∈ A , we show that ∏ α ∈ A R α ( X α ) is not a directed sum of Artinian subrings.
