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International Journal of Mathematics and Mathematical Sciences
Volume 28, Issue 4, Pages 237-242

The Boolean algebra and central Galois algebras

Department of Mathematics, Bradley University, Peoria 61625, IL, USA

Received 15 March 2001

Copyright © 2001 Hindawi Publishing Corporation. 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 B be a Galois algebra with Galois group G, Jg={bBbx=g(x)b for all xB} for gG, and BJg=Beg for a central idempotent eg. Then a relation is given between the set of elements in the Boolean algebra (Ba,) generated by {0,eggG} and a set of subgroups of G, and a central Galois algebra Be with a Galois subgroup of G is characterized for an eBa.