Presentations of rings with a chain of semidualizing modules
Abstract
Inspired by Jorgensen et. al., it is proved that if a Cohen--Macaulay local ring R with dualizing module admits a suitable chain of semidualizing R--modules of length n, then R Q/(I1+·s+In) for some Gorenstein ring Q and ideals I1,·s, In of Q; and, for each ⊂eq [n], the ring Q/(l∈ Il) has some interesting cohomological properties . This extends the result of Jorgensen et. al., and also of Foxby and Reiten.
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