JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 18-23.doi: 10.6040/j.issn.1671-9352.0.2016.574

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Homology resolutions and homological dimensions of complexes

MA Xin, ZHAO You-yi*, NIU Xue-na   

  1. Colleage of Science, Gansu Agricultural University, Lanzhou 730070, Gansu, China
  • Received:2016-12-05 Online:2017-10-20 Published:2017-10-12

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Abstract: The existence of homology resolutions of bounded above complexes in the relative case has been aprroved, which was the generalization of the usual homology resolutions. Then we define relatived homological dimensions of bounded above complexes and gave an equivalent characterization.

Key words: dgX resolution, right X-approximation, homological dimensions

CLC Number: 

  • O153.3
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