Reconstructing projective schemes from Serre subcategories
نویسندگان
چکیده
منابع مشابه
Reconstructing Projective Schemes from Serre Subcategories
Given a positively graded commutative coherent ring A = ⊕j>0Aj , finitely generated as an A0-algebra, a bijection between the tensor Serre subcategories of qgrA and the set of all subsets Y ⊆ Proj A of the form Y =
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Let R be an associative ring with non-zero identity. For a Serre subcategory C of the category R-mod of left R-modules, we consider the class AC of all modules that do not belong to C, but all of their proper submodules belong to C. Alongside of basic properties of such associated classes of modules, we will prove that every uniform module of AC has a local endomorphism ring. Moreover, if R is ...
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Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes Dper(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of isomorphism classes of indecomposable injective modules are used in an essential way.
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From a projective plane Π with a homology τ of order 2, one obtains an incidence system having as points and blocks the 〈τ〉-orbits of length 2 on the points and lines of Π, and with incidence inherited from Π. The resulting structure, denoted by Π/τ , is an example of a homology semibiplane. We have shown that a Desarguesian projective plane of odd prime order is uniquely reconstructible from i...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2007.10.034