On the finitistic dimension conjecture for artinian rings
Article
Received:
- 69 Downloads
- 10 Citations
Keywords
Exact Sequence Simple Module Finitistic Dimension Projective Dimension Projective Cover
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- [1]H. Bass, Finitistic dimension and a homological generalization of semiprimary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488MATHCrossRefMathSciNetGoogle 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), 157–165MATHCrossRefMathSciNetGoogle Scholar
- [3]R. Fossum, P. Griffith, and I. Reiten, Trivial Extensions of Abelian Categories, Springer-Verlag Lect. Notes in Math. vol. 456, 1975Google Scholar
- [4]K.R. Fuller, Algebras from diagrams, J. Pure Appl. Algebra 48 (1987), 23–37MATHCrossRefMathSciNetGoogle Scholar
- [5]K.R. Fuller, Artinian Rings, Universidad de Murcia, 1989Google Scholar
- [6]K.R. Fuller The Cartan determinant and global dimension of artinian rings, Contemporary Mathematics, to appearGoogle Scholar
- [7]E. Green, E. Kirkman, and J. Kuzmanovich, Finitistic dimension of finite dimensional monomial algebras. Journal of Algebra 136 (1991), 37–50MATHCrossRefMathSciNetGoogle Scholar
- [8]E.L. Green and B. Zimmermann Huisgen, Finitistic dimension of artinian rings with vanishing radical cube, preprintGoogle Scholar
- [9]K. Igusa, and D. Zacharia, Syzygy pairs in monomial algebras, Proc. Amer. Math. Soc. 108 (1990), 601–604MATHCrossRefMathSciNetGoogle Scholar
- [10]B. Zimmermann Huisgen, Predicting syzygies over monomial relations algebras, Manuscripta Math. 70 (1991), 157–182MATHMathSciNetGoogle Scholar
Copyright information
© Springer-Verlag 1992