Skip to main content
Log in

On the Restricted Projective Dimension of Complexes

  • Published:
Ukrainian Mathematical Journal Aims and scope

We study the restricted projective dimension of complexes and give some new characterizations of the restricted projective dimension. In particular, it is shown that the restricted projective dimension can be computed in terms of the so-called restricted projective resolutions. As applications, we get some results on the behavior of the restricted projective dimension under the change of rings.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. L. Avramov and H.-B. Foxby, “Homological dimensions of unbounded complexes,” J. Pure Appl. Algebra, 71, 129–155 (1991).

    Article  MATH  MathSciNet  Google Scholar 

  2. L. W. Christensen, “Gorenstein dimensions,” Lect. Notes Math. 1747, (2000).

  3. L. W. Christensen, H.-B. Foxby, and A. Frankild, “Restricted homological dimensions and Cohen–Macaulayness,” J. Algebra, 251, 479–502 (2002).

    Article  MATH  MathSciNet  Google Scholar 

  4. T. Sharif and S. Yassemi, “Depth formulas, restricted Tor-dimension under base change,” Rocky Mount. J. Math., 34, 1131–1146 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  5. J. Xu, “Flat covers of modules,” Lect. Notes Math., 1634 (1996).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 7, pp. 936–945, July, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, L., Wu, D. On the Restricted Projective Dimension of Complexes. Ukr Math J 65, 1042–1053 (2013). https://doi.org/10.1007/s11253-013-0840-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-013-0840-4

Keywords

Navigation