Reduced morphisms and Nagata rings

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1993 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 60, pages 334-338 (issn: 0003-889X, eissn: 1420-8938,

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Authors: Ionescu, Cristodor;

doi: 10.1007/bf01207188

Reduced morphisms and Nagata rings

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Abstract

The paper is mainly devoted to a generalization of a criterion for Nagata rings given previously by \textit{K. Langmann} [Arch. Math. 55, No. 2, 139- 142 (1990; Zbl 0675.13007)]. The present generalization includes, among others, the case of arbitrary characteristic which was not covered by the paper cited above. Also shorter proofs for two known results are included.

Related Organizations

Romanian Academy
Romania

Keywords

normal locus, reduced morphisms, Nagata rings, Integral closure of commutative rings and ideals, Local rings and semilocal rings

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