数学季刊 ›› 2020, Vol. 35 ›› Issue (4): 388-396.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.006
摘要: 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.
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