Abstract
Let BG be a Boolean group algebra, and let R be a nonzero element in BG, where G is an abelian group of order n. The sandwich semigroup of BG with a sandwich element R is denoted by BG( R). The purpose of this paper is to discuss Green's classes, idempotent elements, regular elements, and maximal subgroups for BG( R), and apply the obtained results to Boolean matrices.
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