Are any finitely generated reflexive module a 2nd syzygy? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T16:52:43Z http://mathoverflow.net/feeds/question/7585 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/7585/are-any-finitely-generated-reflexive-module-a-2nd-syzygy Are any finitely generated reflexive module a 2nd syzygy? Francisco Perdomo 2009-12-02T16:02:05Z 2009-12-02T16:46:45Z <p>Are any finitely generated reflexive module a second syzygy?</p> <p>(I´m thinking especially in normal noetherian domains)</p> <p>More general...</p> <p>Are any divisorial lattice a second syzygy? (I´m thinking especially in Krull domains)</p> http://mathoverflow.net/questions/7585/are-any-finitely-generated-reflexive-module-a-2nd-syzygy/7592#7592 Answer by Hailong Dao for Are any finitely generated reflexive module a 2nd syzygy? Hailong Dao 2009-12-02T16:46:45Z 2009-12-02T16:46:45Z <p>Over a normal domain (in fact, you only need Gorenstein in codimension 1, being second syzygy and reflexive are equivalent). This is Theorem 3.6 of Evans-Griffith "Syzygies" book. </p>