Algebras with large homological dimensions

Kirkman, Ellen; Kuzmanovich, James

doi:10.1090/S0002-9939-1990-1027096-4

Algebras with large homological dimensions
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by Ellen Kirkman and James Kuzmanovich PDF

Proc. Amer. Math. Soc. 109 (1990), 903-906 Request permission

Abstract:

An example is given of a semiprimary ring with infinite finitistic dimension. The construction shows that the global dimensions of finite dimensional algebras of finite global dimension cannot be bounded by a function of only Loewy length and the number of nonisomorphic simple modules.

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Bounds on finitistic and global dimension for Artinian rings with vanishing radical cube