TY - JOUR
T1 - A test complex for gorensteinness
AU - Christensen, Lars Winther
AU - Veliche, Oana
PY - 2008/2
Y1 - 2008/2
N2 - Let R be a commutative noetherian ring with a dualizing complex. By recent work of Iyengar and Krause (2006), the difference between the category of acyclic complexes and its subcategory of totally acyclic complexes measures how far R is from being Gorenstein. In particular, R is Gorenstein if and only if every acyclic complex is totally acyclic. In this note we exhibit a specific acyclic complex with the property that it is totally acyclic if and only if R is Gorenstein.
AB - Let R be a commutative noetherian ring with a dualizing complex. By recent work of Iyengar and Krause (2006), the difference between the category of acyclic complexes and its subcategory of totally acyclic complexes measures how far R is from being Gorenstein. In particular, R is Gorenstein if and only if every acyclic complex is totally acyclic. In this note we exhibit a specific acyclic complex with the property that it is totally acyclic if and only if R is Gorenstein.
UR - http://www.scopus.com/inward/record.url?scp=70349652403&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-07-09129-0
DO - 10.1090/S0002-9939-07-09129-0
M3 - Article
AN - SCOPUS:70349652403
SN - 0002-9939
VL - 136
SP - 479
EP - 487
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 2
ER -