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On separable cyclic extensions of rings
Published online by Cambridge University Press: 09 April 2009
Abstract
The quaternion algebra of degree 2 over a commutative ring as defined by S. Parimala and R. Sridharan is generalized to a separable cyclic extension B[j] of degree n over a noncommutative ring B. A characterization of such an extension is given, and a relation between Azumaya algebras and Galois extensions for B[j] is also obtained.
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- Copyright © Australian Mathematical Society 1982
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