تقرير
Homological theory of representations having pure acyclic injective resolutions
| العنوان: | Homological theory of representations having pure acyclic injective resolutions |
|---|---|
| المؤلفون: | Yang, Gang, Li, Qihui, Wang, Junpeng |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - K-Theory and Homology, 16G20, 18A40, 18G05, 18G20, G.0 |
| الوصف: | Let $Q$ be a quiver and $R$ an associative ring. A representation by $R$-modules of $Q$ is called strongly fp-injective if it admits a pure acyclic injective resolution in the category of representations. It is shown that such representations possess many nice properties. We characterize strongly fp-injective representations under some mild assumptions, which is closely related to strongly fp-injective $R$-modules. Subsequently, we use such representations to define relative Gorenstein injective representations, called Gorenstein strongly fp-injective representations, and give an explicit characterization of the Gorenstein strongly fp-injective representations of right rooted quivers. As an application, a model structure in the category of representations is given. Comment: 26 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.21660 |
| رقم الأكسشن: | edsarx.2407.21660 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |