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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Cohen-Macaulay Auslander algebra of string algebras
串代数 Cohen—Macaulay—Auslander代数 拓扑 同调
2023/11/13
In these two talks, some results on derived representation type via topological and homological methods will be introduced: (1) Two geometric models for graded skew-gentle algebras will be introduced ...
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...
Examples of degenerations of Cohen-Macaulay modules
degeneration Cohen-Macaulay module finite representation type
2011/2/25
We study the degeneration problem for maximal Cohen-Macaulay modules and give several examples of such degenerations.
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...
Torsion in equivariant cohomology and Cohen-Macaulay G-actions
Torsion equivariant cohomology Cohen-Macaulay G-actions
2010/11/26
We show that the well-known fact that the equivariant cohomology of a torus action is a torsion-free module if and only if the map induced by the inclusion of the xed point set is injective generalis...
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.
词偏序集的Mbius函数的Cohen-Macaulay性质的推广
2007/12/11
本文主要利用偏序集的同调方法，给出任意两个分层偏序集的等价分类映射概念；证明了该映射是保Cohen-Macaulay性质的．本文的结论部份回答了B．Stechin[1]的问题，同时推广了词偏序集的Mobins函数的符号交错性．