7 citations · 9 across the 4 of their papers we have counts for
7 papers
Cohomological supports of tensor products of modules over commutative rings
Srikanth B. Iyengar, Josh Pollitz, William T. Sanders
This works concerns cohomological support varieties of modules over commutative local rings. The main result is that the support of a derived tensor product of a pair of differenti…
Support and vanishing for non-Noetherian rings and tensor triangulated categories
William T. Sanders
We define and characterise small support for complexes over non-Noetherian rings and in this context prove a vanishing theorem for modules. Our definition of support makes sense fo…
Cohomological support and the geometric join
Hailong Dao, William Sanders
Let be finitely generated modules over a local complete intersection . Assume that for each , . We prove that the cohomological support of $M…
Lower bounds on projective levels of complexes
Hannah Altmann, Eloísa Grifo, Jonathan Montaño +2
For an associative ring , the projective level of a complex is the smallest number of mapping cones needed to build from projective -modules. We establish lower bound…
Classifying Resolving Subcategories
William Sanders
We use the theory of Auslander Buchweitz approximations to classify certain resolving subcategories containing a semidualizing or a dualizing module. In particular, we show that if…
Semidualizing Modules and Rings of Invariants
William Sanders
We show there exist no nontrivial semidualizing modules for nonmodular rings of invariants of order with a prime.
Finite homological dimension and a derived equivalence
William Sanders, Sarang Sane
For a Cohen-Macaulay ring , we exhibit the equivalence of the bounded derived categories of certain resolving subcategories, which, amongst other results, yields an equivalence…