JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (8): 44-48.doi: 10.6040/j.issn.1671-9352.0.2016.216

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On relative homological dimensions

XU Ai-min   

  1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
  • Received:2016-05-15 Online:2016-08-20 Published:2016-08-08

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Abstract: It is shown that pdC(X)=pdC(Y) and fdD(X)=fdD(Y), where X and C are two classes of left R-modules, D a class of right R-modules and Y={M|M is X-filtered}. As an application, the(weak)Gorenstein global dimensions of special rings are computed.

Key words: relative projective dimension, (weak)Gorenstein global dimension, relative flat dimension

CLC Number: 

  • O153.3
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