On separable cyclic extensions of rings

George Szeto, Yuen-Fat Wong
1982 Journal of the Australian Mathematical Society  
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. 1980 Mathematics subject classification (Amer. Math. Soc.): 16 A 16.
doi:10.1017/s1446788700024514 fatcat:fbyezxumzzar7eldpd3jalbmey