Modules with Pure Resolutions over Koszul Algebras Revisited

Publication Date

2016

Description

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.

Journal

Journal of Algebra and Its Applications

Volume

15

Issue

2

First Page

50035

Last Page

50035

Department

Mathematics

DOI

10.1142/S0219498813501594

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