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arXiv · 2510.16436

Left Schur subcategories in recollements

Yingying Zhang·Dajun Song
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Abstract

Recently left Schur subcategories in a length abelian category were introduced by Enomoto, which unify torsion-free classes and wide subcategories. In this paper, we give a construction of left Schur subcategories in the recollements of length abelian categories. Moreover, we show that the construction restricts to wide subcategories and torsion-free classes. As a consequence, we obtain an explicit construction of cofinally closed monobricks in recollements. Finally, we apply the results to a special case of the MacPherson-Vilonen construction of abelian recollements and triangular matrix algebras.

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BibTeXRIS

Yingying Zhang, Dajun Song. 2025-10-18. Left Schur subcategories in recollements. https://arxiv.org/abs/2510.16436

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