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math.AC2012
Reflexivity and connectedness
Sean Sather-Wagstaff
Given a finitely generated module over a commutative noetherian ring that satisfies certain reflexivity conditions, we show how failure of the semidualizing property for the module…
math.AC2012
Contracting endomorphisms and dualizing complexes
Saeed Nasseh, Sean Sather-Wagstaff
We investigate how one can detect the dualizing property for a chain complex over a commutative local noetherian ring R. Our focus is on homological properties of contracting endom…
math.AC2012
Homology of artinian and mini-max modules, II
Bethany Kubik, Micah Leamer, Sean Sather-Wagstaff
Let R be a commutative ring, and let L and L' be R-modules. We investigate finiteness conditions (e.g., noetherian, artinian, mini-max, Matlis reflexive) of the modules Ext^i_R(L,L…