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Nonnoetherian coordinate rings with unique maximal depictions

Authors :
Charlie Beil
Source :
Communications in Algebra. 46:2635-2647
Publication Year :
2018
Publisher :
Informa UK Limited, 2018.

Abstract

A depiction of a nonnoetherian integral domain $R$ is a special coordinate ring that provides a framework for describing the geometry of $R$. We show that if $R$ is noetherian in codimension 1, then $R$ has a unique maximal depiction $T$. In this case, the geometric dimensions of the points of $\operatorname{Spec}R$ may be computed directly from $T$. If in addition $R$ has a normal depiction $S$, then $S$ is the unique maximal depiction of $R$.<br />Comment: 15 pages. To appear, Communications in Algebra

Details

ISSN :
15324125 and 00927872
Volume :
46
Database :
OpenAIRE
Journal :
Communications in Algebra
Accession number :
edsair.doi.dedup.....6c9978dfb1074fdc20db528c74570aa7