33 citations · 75 across the 36 of their papers we have counts for
53 papers
Peskine and Szpiro's Dimension inequality holds over local rings of depth at most one
Lars Winther Christensen, Saeed Nasseh
We prove that the general version---the one that includes the dimension of the tensor product---of Peskine and Szpiro's Dimension Inequality holds over noetherian local rings of de…
Homological dimensions of derived Hom complexes
Lars Winther Christensen, Andrew J. Soto Levins
Let R be a commutative noetherian local ring and M and N be R-complexes with finitely generated homology. We prove that formulas for the homological dimensions of the derived Hom c…
Some non-principal rigid ideals in Gorenstein domains of dimension one
Lars Winther Christensen, Alex Gerko, Srikanth B. Iyengar
We discuss an example of a rigid non-principal ideal in a one dimensional (commutative) Gorenstein domain, which contradicts a conjecture of C. Huneke and R. Wiegand. The construct…
Amplitude inequalities for local (co)homology
Lars Winther Christensen, Luigi Ferraro, Henrik Holm
Peskine and Szpiro's Intersection Theorem for finitely generated modules was generalized by Foxby to all modules and bounded complexes of such. We strengthen Foxby's result and pro…
G-levels of perfect complexes
Lars Winther Christensen, Antonia Kekkou, Justin Lyle +2
We prove that a commutative noetherian ring is Gorenstein of dimension at most if is an upper bound on the G-levels of perfect -complexes. For local, we prove…
Acyclic complexes and regular rings
Lars Winther Christensen, Sergio Estrada, Peder Thompson
A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show tha…