IJPAM: Volume 39, No. 4 (2007)
Department of Mathematics
1501 West Bradley Avenue, Peoria, Illinois, 61625, USA
Abstract.Let be a Galois extension of with Galois group such that is a separable -algebra, where is the center of . Then an equivalent condition is given for as a composition of a Hirata Galois extension of with Galois group and a DeMeyer-Kanzaki Galois extension of with Galois group , where for all . Properties of separable subextensions are also given.
Received: July 28, 2007
AMS Subject Classification: 16S35, 16W20
Key Words and Phrases: separable extensions, Galois extensions, Hirata separable extensions, Hirata Galois extensions, DeMeyer-Kanzaki Galois extensions
Source: International Journal of Pure and Applied Mathematics