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Factorially graded rings and Cox rings
- Source :
-
Journal of Algebra . Nov2012, Vol. 369, p351-359. 9p. - Publication Year :
- 2012
-
Abstract
- Abstract: Cox rings of normal prevarieties are factorially graded, i.e. homogeneous elements allow a unique decomposition into homogeneous factors. We study this property from an algebraic point of view and give a criterion which in a sense reduces it to factoriality. This will allow us to detect and construct Cox rings in a purely algebraic manner. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 369
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 79550922
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2012.07.030