Nagata rings and directed unions of Artinian subrings

D. Karim

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-7

Abstract:

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:543634

DOI: 10.1155/S0161171203210693

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