Report
Cotorsion pairs and Tor-pairs over commutative noetherian rings
| العنوان: | Cotorsion pairs and Tor-pairs over commutative noetherian rings |
|---|---|
| المؤلفون: | Herbera, Dolors, Hrbek, Michal, Gros, Giovanna Le |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, Mathematics - Rings and Algebras, 13D07, 13C15, 13E05 (Prymary) 13C11, 16E30 (Secondary) |
| الوصف: | For a commutative noetherian ring $R$, we classify all the hereditary cotorsion pairs cogenerated by pure-injective modules of finite injective dimension. The classification is done in terms of integer-valued functions on the spectrum of the ring. Each such function gives rise to a system of local depth conditions which describes the left-hand class in the corresponding cotorsion pair. Furthermore, we show that these cotorsion pairs correspond by explicit duality to hereditary Tor-pairs generated by modules of finite flat dimension. Comment: 27 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2411.04514 |
| رقم الانضمام: | edsarx.2411.04514 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |