The Boolean algebra of Galois algebras

George Szeto and Lianyong Xue

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-7

Abstract:

Let B be a Galois algebra with Galois group G , J g = { b ∈ B | b x = g ( x ) b for all x ∈ B } for each g ∈ G , and B J g = B e g for a central idempotent e g , B a the Boolean algebra generated by { 0 , e g | g ∈ G } , e a nonzero element in B a , and H e = { g ∈ G | e e g = e } . Then, a monomial e is characterized, and the Galois extension B e , generated by e with Galois group H e , is investigated.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:597101

DOI: 10.1155/S0161171203202210

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