Chinese Quarterly Journal of Mathematics ›› 2020, Vol. 35 ›› Issue (4): 388-396.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.006

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n-Star Subcategories and n-P-Tilting Subcategories with Respect to Cotorsion Triple

  

  1. Department of Mathematics, Longnan Teachers College, Longnan, 742500, China
  • Received:2020-06-29 Online:2020-12-30 Published:2021-01-06
  • About author:HE Dong-lin(1983-), female, native of Baiyin, Gansu, Longnan Teachers College, M.S.D., engages in homological algebra; LI Yu-yan(1983-), male, native of Longnan, Gansu, Longnan Teachers College, M.S.D., engages in homological algebra.
  • Supported by:
    Supported by the 2020 Scientific Research Projects in Universities of Gansu Province (Grant No. 2020A-277).

Abstract: In this paper, we introduce the definition of n-star subcategories, which is a generalization of n-star modules and n-C-star modules. We give some characterizations of n-star subcategories, and prove that M is an n-P-tilting subcategory with respect to cotorsion triple (P, R-Mod, I), if and only if M is an n-star subcategory with I ⊆Presn(M), where P denotes the subcategory of projective left R-modules and I denotes the subcategory of injective left R-modules.

Key words: n-Quasi-projective subcategories, n-P-Tilting subcategories, n-Star subcategories, Cotorsion triple

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