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Independence of the Total Reflexivity Conditions for Modules

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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 Ext iR (M,R)=0 for all i>0, but Ext iR (M*,R)≠0 for all i>0.

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Authors and Affiliations

  1. Department of Mathematics, University of Texas at Arlington, Arlington, TX, 76019, U.S.A.

    David A. Jorgensen

  2. Department of Mathematics, Michigan State University, East Lansing, MI, 48824, U.S.A.

    Liana M. Şega

Authors
  1. David A. Jorgensen
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  2. Liana M. Şega
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Correspondence to David A. Jorgensen.

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Mathematics Subject Classification (2000)

13D07.

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Jorgensen, D.A., Şega, L.M. Independence of the Total Reflexivity Conditions for Modules. Algebr Represent Theor 9, 217–226 (2006). https://doi.org/10.1007/s10468-005-0559-5

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  • DOI: https://doi.org/10.1007/s10468-005-0559-5

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