Independence of the total reflexivity conditions for modules

Details Independence of the total reflexivity conditions for modules Independence of the total reflexivity conditions for modules

2004-10-11

arxiv.org/abs/math/0410257v2

Mathematics

Commutative Algebra

In the previous version, Proposition 2.1 is incorrect, as stated. We added the assumption "Artinian" in the statement

Scientific paper

We show that the conditions defining total reflexivity for modules are
independent. In particular, we construct a commutative Noetherian local ring
$R$ and a reflexive $R$-module $M$ such that $\Ext^i_R(M,R)=0$ for all $i>0$,
but $\Ext^i_R(M^*,R)\ne 0$ for all $i>0$.

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