A Hovey Triple Arising from a Frobenius Pair

doi:10.13371/j.cnki.chin.q.j.m.2021.02.006

Chinese Quarterly Journal of Mathematics ›› 2021, Vol. 36 ›› Issue (2): 176-187.doi: 10.13371/j.cnki.chin.q.j.m.2021.02.006

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A Hovey Triple Arising from a Frobenius Pair

College of Information Processing and Control Engineering, Lanzhou Petrochemical Polytechnic,
Lanzhou 730060, China

Received:2020-09-01 Online:2021-06-30 Published:2021-06-23
About author: LIU Shuo (1983-), female, native of Shijiazhuang, Hebei, teacher of Lanzhou Petrochemical Polytechnic, engages in homological algebra and mathematics teaching.

Abstract

Abstract:

We revisit Auslander-Buchweitz approximation theory and fifind 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 X ^∧.

Key words: Triangulated category, Weak-cogenerator, Approximation theory, Frobenius
pair, Model category structures

CLC Number:

O213.2

LIU Shuo. A Hovey Triple Arising from a Frobenius Pair[J]. Chinese Quarterly Journal of Mathematics, 2021, 36(2): 176-187.

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A Hovey Triple Arising from a Frobenius Pair

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