10 citations · 35 across the 17 of their papers we have counts for
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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…