1 citations · 3 across the 10 of their papers we have counts for
14 papers
Level and Gorenstein Projective Dimension
Laila Awadalla, Thomas Marley
We investigate the relationship between the level of a bounded complex over a commutative ring with respect to the class of Gorenstein projective modules and other invariants of th…
Frobenius and Homological Dimensions of Complexes
Taran Funk, Thomas Marley
It is proved that a module over a Noetherian local ring of prime characteristic and positive dimension has finite flat dimension if Tor for dim conse…
Characterizing Gorenstein rings using contracting endomorphisms
Brittney Falahola, Thomas Marley
We prove several characterizations of Gorenstein rings in terms of vanishings of derived functors of certain modules or complexes whose scalars are restricted via contracting endom…
Detecting finite flat dimension of modules via iterates of the Frobenius endomorphism
Douglas J. Dailey, Srikanth B. Iyengar, Thomas Marley
It is proved that a module over a Noetherian ring of positive characteristic has finite flat dimension if there exists an integer such that $\operatorname{Tor}…
Rigidity of Ext and Tor with coefficients in residue fields of a commutative noetherian ring
Lars Winther Christensen, Srikanth B. Iyengar, Thomas Marley
Let p be a prime ideal in a commutative noetherian ring R. It is proved that if an R-module M satisfies Tor^R_n(k(p),M) = 0 for some n \geq dim R_p, where k(p) is the residue field…
A change of rings result for Matlis reflexivity
Douglas Dailey, Thomas Marley
Let be a commutative Noetherian ring and the minimal injective cogenerator of the category of -modules. An -module is (Matlis) reflexive if the natural evaluation…