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Not every object in the derived category of a ring is Bousfield equivalent to a module
Not every object derived category ring Bousfield equivalent module
2012/3/1
We consider the derived category of a specific non-Noetherian ring \Lambda, and show that there are objects in D(\Lambda) that are not Bousfield equivalent to any module. This answers a question posed...
On the derived category of a graded commutative noetherian ring
Localizing subcategories graded ring weighted projective scheme
2011/9/20
Abstract: For any graded commutative noetherian ring, where the grading group is abelian and where commutativity is allowed to hold in a quite general sense, we establish an inclusion-preserving bijec...
In the category of relative categories the Rezk equivalences are exactly the DK-equivalences
category of relative categories Rezk equivalences exactly the DK-equivalences
2011/1/19
In a previous paper we lifted Charles Rezk’s complete Segal model structure on the category of simplicial spaces to a Quillen equivalent one on the category of “relative categories” and our aim in thi...
Autoequivalences of the tensor category of Uq(g)-modules
Autoequivalences tensor category of Uq(g)-modules
2011/2/24
We prove that for q 2 C not a nontrivial root of unity the cohomology group defined by invariant 2-cocycles in a completion of Uqg is isomorphic to H2(P/Q; T), where P and Q are the weight and root l...