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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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
CLC Number:
O154.2
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.
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URL: https://sxjk.magtechjournal.com/EN/10.13371/j.cnki.chin.q.j.m.2020.04.006
https://sxjk.magtechjournal.com/EN/Y2020/V35/I4/388