Projective modules over finite groups
نویسندگان
چکیده
منابع مشابه
Projective Modules over Finite Groups
Serre [5] has recently proved a general theorem about projective modules over commutative rings. This theorem has the following consequence : If 7T is a finite abelian group, any finitely generated projective module over the integral group ring Zir is the direct sum of a free module and an ideal of Zir. The question naturally arises as to whether this result holds for nonabelian groups x. Serre...
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Definition 1. Let S be a graded ring, set X = ProjS and letM a graded S-module. We define a sheaf of modulesM ̃ on X as follows. For each p ∈ ProjS we have the local ring S(p) and the S(p)module M(p) (GRM,Definition 4). Let Γ(U,M ̃) be the set of all functions s : U −→ ∐p∈U M(p) with s(p) ∈M(p) for each p, which are locally fractions. That is, for every p ∈ U there is an open neighborhood p ∈ V ⊆...
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In the spirit of noncommutative geometry we construct all inequivalent vector bundles over the (2, 2)-dimensional supersphere S2,2 by means of global projectors p via equivariant maps. Each projector determines the projective module of finite type of sections of the corresponding ‘rank 1’ supervector bundle over S2,2. The canonical connection ∇ = p ◦ d is used to compute the Chern numbers by me...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1959
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1959-10376-1