The Boolean algebra and central Galois algebras

George Szeto and Lianyong Xue

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-6

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 g ∈ G , and B J g = B e g for a central idempotent e g . Then a relation is given between the set of elements in the Boolean algebra ( B a , ≤ ) generated by { 0 , e g ∣ g ∈ G } and a set of subgroups of G , and a central Galois algebra B e with a Galois subgroup of G is characterized for an e ∈ B a .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:184907

DOI: 10.1155/S0161171201007104

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