On complexes of finite complete intersection dimension
نویسندگان
چکیده
منابع مشابه
On Complexes of Finite Complete Intersection Dimension
We study complexes of finite complete intersection dimension in the derived category of a local ring. Given such a complex of complexity c, we prove that the thick subcategory it generates contains complexes of all possible complexities at most c. In particular, we show that such a complex is virtually small, answering a question raised by Dwyer, Greenlees and Iyengar.
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The theorem presented and proved in this paper can be viewed as an extension or improvement of our recent Complete Intersection Theorem [1] and may be called the Complete Nontrivial-Intersection Theorem. It goes considerably beyond the well-known Hilton Milner Theorem [10]. We put the result into the proper perspective with a brief sketch of the key steps in its development, beginning with the ...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2009
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2009.v11.n2.a4