Back to Search
Start Over
F-coherent rings with applications to tight closure theory
- Source :
-
Journal of Algebra . Jul2011, Vol. 338 Issue 1, p24-34. 11p. - Publication Year :
- 2011
-
Abstract
- Abstract: The aim of this paper is to introduce a new class of Noetherian rings of prime characteristic via perfect closure and study their basic properties. If the perfect closure of a Noetherian ring is coherent, we call it an F-coherent ring. Some applications are given to tight closure theory. In particular, we discuss some relationship between F-coherent rings and F-pure, F-regular, and F-injective rings. As a main tool, we use techniques from valuation theory. The final section discusses how the coherent property effects the behavior of tight closure of finitely generated ideals on general perfect rings. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 338
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 60900764
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2011.05.006