A cohomological interpretation of the graded Brauer group II
نویسندگان
چکیده
منابع مشابه
The Cohomological Brauer Group of a Toric Variety
Toric varieties are a special class of rational varieties defined by equations of the form monomial = monomial. For a good brief survey of the history and role of toric varieties see [10]. Any toric variety X contains a cover by affine open sets described in terms of arrangements (called fans) of convex bodies in Rr. The coordinate rings of each of these affine open sets is a graded ring genera...
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We consider the Brauer group BM(k, G) of a group G (finite or infinite) over a commutative ring k with identity. A split exact sequence 1 −→ Br′(k) −→ BM′(k, G) −→ Gal(k, G) −→ 1 is obtained. This generalizes the Fröhlich-Wall exact sequence ([7, 8])from the case of a field to the case of a commutative ring, and generalizes the PiccoPlatzeck exact sequence ([13]) from the finite case of G to th...
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An algebra is a vector space V over a field k together with a kbilinear product of vectors under which V is a ring. A certain class of algebras, called Brauer algebras algebras which split over a finite Galois extension appear in many subfields of abstract algebra, including K-theory and class field theory. Beginning with a definition of the the tensor product, we define and study Brauer algebr...
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In the present paper we study some homotopy invariants which can be defined by means of bundles with fiber a matrix algebra. In particular, we introduce some generalization of the Brauer group in the topological context and show that any its element can be represented as a locally trivial bundle with the structure group N × k , k ∈ N . Finally, we discuss its possible applications in the twiste...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1985
ISSN: 0022-4049
DOI: 10.1016/0022-4049(85)90053-2