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
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 {Rα}α∈A, we show that ∏α∈ARα(Xα) is not a directed sum of Artinian subrings.
