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Modules with pure resolutions over Koszul algebras revisited

Thomas Cassidy

Mathematics Department, Bucknell University, Lewisburg, PA, USA

https://doi.org/10.1142/S0219498816500353Cited by:1 (Source: Crossref)

Abstract

I construct a Koszul algebra A and a finitely generated graded A-module M that together form a counterexample to a recently published claim. M is generated in degree 0 and has a pure resolution, and the graded Jacobson radical of the Yoneda algebra of A does not annihilate the Ext module of M, but nonetheless M is not a Koszul module.

Keywords:

AMSC: Primary 16S37, Primary 16G50, Secondary 16E30

References

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