Stratifying systems via a nested family of torsion pairs
Abstract
In this paper, we introduce the notion of a nested family of torsion pairs. We show that every stratifying system induces a nested family of torsion pairs and, conversely, that such a family together with a suitable object gives rise to a stratifying system; in particular, every stratifying system arises in this way. As an application, we present a stratifying system of infinite size that cannot be indexed by (\mathbb{N}, \leq) , where \leq is the natural order.
Fields of Study & Subjects
Matrix Theory and Algorithms
Modular Robots and Swarm Intelligence
Publication details
- Journal / source
- Revista Matemática Iberoamericana
- Volume
- 42
- Issue
- 4
- Pages
- 1201–1226
- Publication date
- 18 May 2026
- Language
- EN