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Finite injective dimension over rings with Noetherian cohomology

Burke, Jesse

Description

We study rings that have Noetherian cohomology over a ring of cohomology operators. Examples of such rings include commutative complete intersection rings and finite-dimensional cocommutative Hopf algebras. The main result is a criterion for a complex of modules over a ring with Noetherian cohomology to have finite injective dimension. The criterion implies in particular that for any module over such a ring, if all higher self-extensions of the module vanish, then it must have finite injective...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/152869
Source: Mathematical Research Letters
DOI: 10.4310/MRL.2012.v19.n4.a1
Access Rights: Open Access

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