Algebras and Representation Theory

, Volume 9, Issue 2, pp 217–226

Independence of the Total Reflexivity Conditions for Modules


DOI: 10.1007/s10468-005-0559-5

Cite this article as:
Jorgensen, D.A. & Şega, L.M. Algebr Represent Theor (2006) 9: 217. doi:10.1007/s10468-005-0559-5


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


totally reflective

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Texas at ArlingtonArlingtonU.S.A.
  2. 2.Department of MathematicsMichigan State UniversityEast LansingU.S.A.