@article{Gao2025, 
author = {Hanpeng Gao and Yunlong Zhou and Yuanfeng Zhang},
title = {Sincere wide    τ-tilting modules},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {4},
pages = {2275-2284},
keywords = {wide τ-tilting modules, ICE-closed subcategories, epibricks, Nakayama algebras},
url = {https://www.sciopen.com/article/10.3934/era.2025099},
doi = {10.3934/era.2025099},
abstract = {Enomoto and Sakai introduced wide    τ-tilting modules, which are    τ-tilting modules over functorially finite wide subcategories. They also proved that wide    τ-tilting modules bijection with doubly functorially finite image-cokernel-extension-closed (ICE-closed) subcategories, which extended Adachi-Iyama-Reiten's result. In this paper, we show that this bijection can be restricted to the support sets. As a consequence, we establish bijections between sincere wide    τ-tilting modules, sincere ICE-closed subcategories, and sincere epibricks, and then we show that its number is related to the little Schr             o      ¨      der number for Nakayama algebras.}
}