Independence of the total reflexivity conditions for modules
David Jorgensen, Liana Sega
Abstract
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 iR(M,R)=0 for all i>0, but iR(M*,R) 0 for all i>0.
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