Strong test ideals associated to Cartier algebras

التفاصيل البيبلوغرافية
العنوان: Strong test ideals associated to Cartier algebras
المؤلفون: Enescu, Florian, Ilioaea, Irina
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Commutative Algebra, 13A35
الوصف: 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.
Comment: 13 pages, to appear in Journal of Algebra and Its Applications, preprint version
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1901.04113
رقم الأكسشن: edsarx.1901.04113
قاعدة البيانات: arXiv