کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4583944 | 1630464 | 2016 | 58 صفحه PDF | دانلود رایگان |
Let T/AT/A be an integral extension of noetherian integrally closed integral domains whose quotient field extension is a finite cyclic Galois extension. Let S/RS/R be a localization of this extension which is unramified. Using a generalized cyclic crossed product construction it is shown that certain reflexive fractional ideals of T with trivial norm give rise to Azumaya R-algebras that are split by S . Sufficient conditions on T/AT/A are derived under which this construction can be reversed and the relative Brauer group of S/RS/R is shown to fit into the exact sequence of Galois cohomology associated to the ramified covering T/AT/A. Many examples of affine algebraic varieties are exhibited for which all of the computations are carried out.
Journal: Journal of Algebra - Volume 450, 15 March 2016, Pages 1–58