تقرير
Rigidity of Ext and Tor via flat-cotorsion theory
| العنوان: | Rigidity of Ext and Tor via flat-cotorsion theory |
|---|---|
| المؤلفون: | Christensen, Lars Winther, Ferraro, Luigi, Thompson, Peder |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, 13D07, 13D05 |
| الوصف: | Let p be a prime ideal in a commutative noetherian ring R and denote by k(p) the residue field of the local ring R_p. We prove that if an R-module M satisfies Ext_R^n(k(p),M) = 0 for some n >= dim R, then Ext_R^i(k(p),M) = 0 holds for all i >= n. This improves a result of Christensen, Iyengar, and Marley by lowering the bound on n. We also improve existing results on Tor-rigidity. This progress is driven by the existence of minimal semi-flat-cotorsion replacements in the derived category as recently proved by Nakamura and Thompson. Comment: Final version, to appear in Proc. Edinb. Math. Soc.; 10 pp |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2112.00103 |
| رقم الأكسشن: | edsarx.2112.00103 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |