Volume no :15, Issue no: 1, March (2016)

Journal of Algebra, Number Theory: Advances and Applications

ON GENERAL HIRATA-AZUMAYA GALOIS EXTENSIONS

Author's: Lianyong Xue
Pages: [1] - [13]
Received Date: December 28, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121612

Abstract

Let B be a general Hirata-Azumaya Galois extension of with Galois group G. Then several characterizations of such a B are shown, and an equivalent condition is given for such a B satisfying the fundamental theory.

Keywords

separable extensions, Azumaya algebras, Hirata separable extensions, Galois extensions, Hirata-Azumaya Galois extensions.