On sandwich semigroups in Boolean group algebras

✍ Scribed by Cen Jianmiao

• Book ID: 104152452
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 135 KB
• Volume: 169
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(01)00076-7

✦ Synopsis

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.