JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 97-102.doi: 10.6040/j.issn.1671-9352.0.2020.194

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A new construction method of triangulated model structures

ZHANG Ping-er, YANG Xiao-yan   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2020-12-01

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Abstract: Let T be a triangulated category and ξ denote some proper class of triangles, and suppose that we have two complete hereditary cotorsion pairs(Q,R)and(Q,R)with respect to ξ in T satisfying R⊆R and Q ∩R=Q∩R. We show how to construct an unique triangulated model structures with respect to ξ on T with Q(resp.Q)as the class of cofibrant(resp. trivially cofibrant)objects and R(resp. R)as the class of fibrant(resp. trivially fibrant)objects.

Key words: triangulated category, complete hereditary cotorsion pair, thick class, Hovey triple

CLC Number: 

  • O154.2
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