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Relative homological dimensions in recollements of triangulated categories 被引量:1

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摘要 Let E be a proper class of triangles in a triangulated category C, and let (A, B, C) be a recollement of triangulated categories. Based on Beligiannis's work, we prove that A and C have enough E-projective objects whenever B does. Moreover, in this paper, we give the bounds for the E-global dimension of B in a recollement (A, B, C) by controlling the behavior of the E-global dimensions of the triangulated categories A and C: In particular, we show that the finiteness of the E-global dimensions of triangulated categories is invariant with respect to the recollements of triangulated categories.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2019年第1期25-43,共19页 中国高等学校学术文摘·数学(英文)
基金 National Natural Science Foundation of China (Grant No. 11671126).
分类号 O [理学]
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