The aim of this paper is to expand the idea of annihilators in βπ«π²-Algebras. We introduce the definition of annihilators. And also, we introduce the definitions of Normal, (β,β¬)β Normal and (β¬,β)βNormal π«π²πΌ-ideals. We obtain some characterizations and several basic properties of annihilators. Moreover we investigate the relationship between πΜ(πΜ(β,β¬)) and (πΜ (πΜ))(β,β¬) for a homomorphism of βπ«π²-Algebras.
Mathematical Subject classification: 03B05, 03G10, 06B10, 06B75