Skip to main content
Log in

On the finitistic dimension conjecture for artinian rings

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

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.

References

  1. H. Bass, Finitistic dimension and a homological generalization of semiprimary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488

    Article  MATH  MathSciNet  Google Scholar 

  2. W.D. Burgess, K.R. Fuller, E.R. Voss, and B. Zimmermann Huisgen, The Cartan matrix as an indicator of finite global dimension for artinian rings. Proc. Amer. Math. Soc. 95 (1985), 157–165

    Article  MATH  MathSciNet  Google Scholar 

  3. R. Fossum, P. Griffith, and I. Reiten, Trivial Extensions of Abelian Categories, Springer-Verlag Lect. Notes in Math. vol. 456, 1975

  4. K.R. Fuller, Algebras from diagrams, J. Pure Appl. Algebra 48 (1987), 23–37

    Article  MATH  MathSciNet  Google Scholar 

  5. K.R. Fuller, Artinian Rings, Universidad de Murcia, 1989

  6. K.R. Fuller The Cartan determinant and global dimension of artinian rings, Contemporary Mathematics, to appear

  7. E. Green, E. Kirkman, and J. Kuzmanovich, Finitistic dimension of finite dimensional monomial algebras. Journal of Algebra 136 (1991), 37–50

    Article  MATH  MathSciNet  Google Scholar 

  8. E.L. Green and B. Zimmermann Huisgen, Finitistic dimension of artinian rings with vanishing radical cube, preprint

  9. K. Igusa, and D. Zacharia, Syzygy pairs in monomial algebras, Proc. Amer. Math. Soc. 108 (1990), 601–604

    Article  MATH  MathSciNet  Google Scholar 

  10. B. Zimmermann Huisgen, Predicting syzygies over monomial relations algebras, Manuscripta Math. 70 (1991), 157–182

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was carried out while Saorín was visiting the University of Iowa, supported by the DGICYT

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fuller, K.R., Saorín, M. On the finitistic dimension conjecture for artinian rings. Manuscripta Math 74, 117–132 (1992). https://doi.org/10.1007/BF02567662

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567662

Keywords

Navigation