Finitistic Homological Dimensions Relative to Subcategories

Yuntao Huang, Xia Wu and Weiling Song
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Yuntao Huang: Department of Applied Mathematics, College of Science, Nanjing Forestry University, Nanjing 210037, China
Xia Wu: School of Mathematics, Southeast University, Nanjing 210000, China
Weiling Song: Department of Applied Mathematics, College of Science, Nanjing Forestry University, Nanjing 210037, China

Mathematics, 2020, vol. 8, issue 12, 1-11

Abstract: Let C ⊆ T be subcategories of an abelian category A . Under some certain conditions, we show that the C -finitistic and T -finitistic global dimensions of A are identical. Some applications are given; in particular, some known results are obtained as corollaries.

Keywords: relative finitistic dimensions; semidualizing bimodules; C-Gorenstein modules; auslander classes; bass classes (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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