References
H. Bass, Finitistic dimension and a homological generalization of semiprimary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488
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
R. Fossum, P. Griffith, and I. Reiten, Trivial Extensions of Abelian Categories, Springer-Verlag Lect. Notes in Math. vol. 456, 1975
K.R. Fuller, Algebras from diagrams, J. Pure Appl. Algebra 48 (1987), 23–37
K.R. Fuller, Artinian Rings, Universidad de Murcia, 1989
K.R. Fuller The Cartan determinant and global dimension of artinian rings, Contemporary Mathematics, to appear
E. Green, E. Kirkman, and J. Kuzmanovich, Finitistic dimension of finite dimensional monomial algebras. Journal of Algebra 136 (1991), 37–50
E.L. Green and B. Zimmermann Huisgen, Finitistic dimension of artinian rings with vanishing radical cube, preprint
K. Igusa, and D. Zacharia, Syzygy pairs in monomial algebras, Proc. Amer. Math. Soc. 108 (1990), 601–604
B. Zimmermann Huisgen, Predicting syzygies over monomial relations algebras, Manuscripta Math. 70 (1991), 157–182
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This research was carried out while Saorín was visiting the University of Iowa, supported by the DGICYT
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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
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DOI: https://doi.org/10.1007/BF02567662