A Hovey Triple Arising from a Frobenius Pair

• 作者: LIU Shuo
• 来源期刊: 数学季刊（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 176-187
• 页数: 12页
• 分类号: O213.2
• 语种: 英文
• DOI: 10.13371/j.cnki.chin.q.j.m.2021.02.006

摘要

We revisit Auslander-Buchweitz approximation theory and find some relations with cotorsion pairs and model category structures.From the notion of weak-cogenerators,we introduce the concept of Frobenius pair(x,ω)in a triangulated category T.We show how to construct from a Frobenius pair(x,ω)a triangulated model structure on xΛ.