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Nonnoetherian coordinate rings with unique maximal depictions.

Authors :
Beil, Charlie
Source :
Communications in Algebra; 2018, Vol. 46 Issue 6, p2635-2647, 13p
Publication Year :
2018

Abstract

A depiction of a nonnoetherian integral domain <italic>R</italic> is a special coordinate ring that provides a framework for describing the geometry of <italic>R</italic>. We show that if <italic>R</italic> is noetherian in codimension 1, then <italic>R</italic> has a unique maximal depiction <italic>T</italic>. In this case, the geometric dimensions of the points of Spec <italic>R</italic> may be computed directly from <italic>T</italic>. If in addition <italic>R</italic> has a normal depiction <italic>S</italic>, then <italic>S</italic> is the unique maximal depiction of <italic>R</italic>. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00927872
Volume :
46
Issue :
6
Database :
Complementary Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
128618013
Full Text :
https://doi.org/10.1080/00927872.2017.1392533