The closed socle of an Azumaya algebra
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- by F. R. DeMeyer PDF
- Proc. Amer. Math. Soc. 78 (1980), 299-303 Request permission
Abstract:
If R is a Noetherian ring and A is an Azumaya algebra over R then an ideal $H(A)$ in R, called the closed socle of A, is defined and it is shown that $H(A)$ is independent of the representative A in the Brauer group of R. When R is a domain, the behavior of $H(A)$ under localization and passage to the quotient field is studied, and $H(A)$ is calculated when R is the affine ring of a real curve.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 299-303
- MSC: Primary 16A16
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553361-4
- MathSciNet review: 553361