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Nonnoetherian coordinate rings with unique maximal depictions.
- 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]
- Subjects :
- NOETHERIAN rings
MAXIMAL ideals
KRULL rings
ALGEBRAIC geometry
ALGEBRA
Subjects
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