2 papers
math.AC2004
Independence of the total reflexivity conditions for modules
David Jorgensen, Liana Sega
We show that the conditions defining total reflexivity for modules are independent. In particular, we construct a commutative Noetherian local ring and a reflexive -module $…
math.AC2003
Nonvanishing cohomology and classes of Gorenstein rings
David A. Jorgensen, Liana M. Sega
We give counterexamples to the following conjecture of Auslander: given a finitely generated module over an Artin algebra , there exists a positive integer such that f…