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Are any finitely generated reflexive module a second syzygy?

(I´m thinking especially in normal noetherian domains)

More general...

Are any divisorial lattice a second syzygy? (I´m thinking especially in Krull domains)

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5

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.

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