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The rings R(X) and R〈X〉
Journal article   Open access   Peer reviewed

The rings R(X) and R〈X〉

D. D Anderson, David F Anderson and Raj Markanda
Journal of Algebra, Vol.95(1), pp.96-115
1985
DOI: 10.1016/0021-8693(85)90096-1
url
https://doi.org/10.1016/0021-8693(85)90096-1View
Published (Version of record) Open Access

Abstract

The rings R ( X ) and R 〈 X 〉 are investigated. Of particular importance is the question of when R ( X ) or R 〈 X 〉 is an arithmetical ring, a Prüfer ring, a Hilbert ring or a Euclidean ring. Answers are sought in terms of the base ring R .

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