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Showing 2006 · math.ACShow all
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math.AC2006
A characterization of modules locally of finite injective dimension
Ryo Takahashi
In this note, finite modules locally of finite injective dimension over commutative Noetherian rings are characterized in terms of vanishing of Ext modules.
math.AC2006
Gorenstein rings and irreducible parameter ideals
Thomas Marley, Mark W. Rogers, Hideto Sakurai
Given a Noetherian local ring (R,m) it is shown that there exists an integer l such that R is Gorenstein if and only if some system of parameters contained in m^l generates an irre…