تقرير
An introduction to monomorphism categories
| العنوان: | An introduction to monomorphism categories |
|---|---|
| المؤلفون: | Kvamme, Sondre |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Rings and Algebras, 16G70, 16G20, 20K27, 16E65 |
| الوصف: | This manuscript was written for the Proceedings of the ICRA 2022 in Buenos Aires. It can be divided into four parts: The first part is an introduction to the theory of monomorphism categories, including a short survey on some representation theoretic results. The second part is a summary of some recent results on monomorphism categories based on joint work with Nan Gao, Julian K\"ulshammer and Chrysostomos Psaroudakis. It also includes a new result, namely a classification of all monomorphism categories of finite type over cyclic abelian groups. The third part concerns the relationship between submodule categories and $p$-valuated abelian groups. The last part contains a proof of wildness of a certain monomorphism category, rectifying a statement in the literature. Comment: 36 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.17147 |
| رقم الأكسشن: | edsarx.2407.17147 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |