7 papers
Gorenstein weak global dimension is symmetric
Lars Winther Christensen, Sergio Estrada, Peder Thompson
We study the Gorenstein weak global dimension of associative rings and its relation to the Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein w…
A refinement of Gorenstein flat dimension via the flat--cotorsion theory
Lars Winther Christensen, Sergio Estrada, Li Liang +3
We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring--the Gorenstein flat-cotorsion dimension--and prove that it, unlike the Gorenstein…
Reducibility of parameter ideals in low powers of the maximal ideal
Katharine Shultis, Peder Thompson
A commutative noetherian local ring is Gorenstein if and only if every parameter ideal of is irreducible. Although irreducible parameter ideals may exist in…
Minimal semi-flat-cotorsion replacements and cosupport
Tsutomu Nakamura, Peder Thompson
Over a commutative noetherian ring of finite Krull dimension, we show that every complex of flat cotorsion -modules decomposes as a direct sum of a minimal complex and a con…
Matrix factorizations for self-orthogonal categories of modules
Petter Andreas Bergh, Peder Thompson
For a commutative ring and self-orthogonal subcategory of , we consider matrix factorizations whose modules belong to . Let b…
The stable category of Gorenstein flat sheaves on a noetherian scheme
Lars Winther Christensen, Sergio Estrada, Peder Thompson
For a semi-separated noetherian scheme, we show that the category of cotorsion Gorenstein flat quasi-coherent sheaves is Frobenius and a natural non-affine analogue of the category…