تقرير
The category of modules on an n-trivial extension: the basic properties
| العنوان: | The category of modules on an n-trivial extension: the basic properties |
|---|---|
| المؤلفون: | Benkhadra, Dirar, Bennis, Driss, Rozas, J. R. Garcia |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Category Theory, Mathematics - Commutative Algebra, Mathematics - Rings and Algebras, 18A05, 18E99, 18G05, 18G20 |
| الوصف: | In this paper we investigate a categorical aspect of $n$-trivial extension of a ring by a family of modules. Namely, we introduce the right (resp., left) $n$-trivial extension of a category by a family of endofunctors. Among other results, projective, injective and flat objects of this category are characterized. We end the paper with two applications. We characterize when an $n$-trivial extension ring is $k$-perfect and we establish a result on the selfinjective dimension of an $n$-trivial extension ring. Comment: To appear Algebra Colloquium: Volume 27 (2020), Number 3. (Special Issue; proceedings of The International Conference on Algebra and Related Topics; ICART 2018) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1911.09364 |
| رقم الأكسشن: | edsarx.1911.09364 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |