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On the Azumaya locus of some crossed products

Title
On the Azumaya locus of some crossed products
Type
Article in International Scientific Journal
Year
2005
Authors
Carvalho, PAAB
(Author)
FCUP
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Journal
Vol. 33
Pages: 51-72
ISSN: 0092-7872
Publisher: Taylor & Francis
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-000-5DX
Abstract (EN): Given D a commutative Noetherian domain and G a finite group acting faithfully on D as automorphisms of D, we describe the Azumaya locus of the crossed product D * G and relate it with the singular locus of D-G. To achieve this we will impose some basic homological conditions on D and on D * G. Also we discuss necessary and sufficient conditions for a crossed product R * G, for some ring R, to be Azumaya. Concepts as H-separability and Galois extensions are used.
Language: English
Type (Professor's evaluation): Scientific
Contact: pbcarval@fc.up.pt
No. of pages: 22
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