International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 11, Pages 673-679
The Boolean algebra of Galois algebras
Department of Mathematics, Bradley University, Peoria 61625, IL, USA
Received 8 February 2002
Copyright © 2003 George Szeto and Lianyong Xue. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be a Galois algebra with Galois group , for each , and
for a central idempotent , the Boolean algebra generated by , a nonzero
element in , and . Then, a
monomial is characterized, and the Galois extension ,
generated by with Galois group , is investigated.