Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 4: 388 - 396

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.04.006

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

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  • Department of Mathematics, Longnan Teachers College, Longnan, 742500, China
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.

Received date: 2020-06-29

  Online published: 2021-01-06

Supported by

Supported by the 2020 Scientific Research Projects in Universities of Gansu Province (Grant No. 2020A-277).

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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

Cite this article

HE Dong-lin, LI Yu-yan . n-Star Subcategories and n-P-Tilting Subcategories with Respect to Cotorsion Triple[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(4) : 388 -396 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.04.006

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