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Stable degenerations of Cohen-Macaulay modules
degeneration Cohen-Macaulay module finite representation type stable category
2011/2/24
As a stable analogue of degenerations, we introduce the notion of stable degener-ations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient co...
Dual Bass Numbers and Co-Cohen Macaulay Modules
Co-localization Dual Bass numbers Co-Cohen Macaulay modules
2010/12/3
In this paper, we give a characterization of Co-Cohen Macaulay mod-ules by vanishing properties of the Dual Bass numbers of modules. In addition, we show that the co-localization of Co-Cohen Macaulay ...
Some remarks on big Cohen-Macaulay algebras via closure operations
Almost Cohen-Macaulay Big Cohen-Macaulay Closure operation Perfect al-gebra Value map
2010/12/1
In this note we present some remarks on big Cohen-Macaulay algebras.Our methods for doing this are inspired by the notion of dagger closure and by ideas of Northcott on dropping of the Noetherian assu...
Derived equivalences for Cohen-Macaulay Auslander algebras
Cohen-Macaulay finite type Cohen-Macaulay Auslander algebras derived equivalence
2010/12/9
Let A and B be Gorenstein Artin algebras of Cohen-Macaulay finite type. We prove that, if
A and B are derived equivalent, then their Cohen-Macaulay Auslander algebras are also derived
equivalent.