Monobricks in extriangulated length categories
Category Theory
2025-12-15 v1
Abstract
In this paper, we introduce the notation of monobricks in an extriangulated length category as a generalization of the semibricks. We prove that there is a bijection between monobricks and left Schur subcategories. Then we show that this bijection restricts to bijection between cofinally closed monobricks and torsion-free classes. These extend the results of Enomoto for abelian length categories.
Keywords
Cite
@article{arxiv.2512.11211,
title = {Monobricks in extriangulated length categories},
author = {Yuxia Mei and Li Wang and Jiaqun Wei},
journal= {arXiv preprint arXiv:2512.11211},
year = {2025}
}
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12 pages