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arXiv · 2512.11211

Monobricks in extriangulated length categories

Yuxia Mei·Li Wang·Jiaqun Wei
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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.

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Yuxia Mei, Li Wang, Jiaqun Wei. 2025-12-12. Monobricks in extriangulated length categories. https://arxiv.org/abs/2512.11211

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