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Strong test ideals associated to Cartier algebras.
- Source :
-
Journal of Algebra & Its Applications . Mar2020, Vol. 19 Issue 3, pN.PAG-N.PAG. 16p. - Publication Year :
- 2020
-
Abstract
- In this note, we use the theory of test ideals and Cartier algebras to examine the interplay between the tight and integral closures in a local ring of positive characteristic. Using work of Schwede, we prove the abundance of strong test ideals, recovering some older fundamental results, and use this approach in concrete computations. In the second part of the paper, the case of Stanley–Reisner rings is fully examined. [ABSTRACT FROM AUTHOR]
- Subjects :
- *IDEALS (Algebra)
*LOCAL rings (Algebra)
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 19
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 142621693
- Full Text :
- https://doi.org/10.1142/S0219498820500449