Volume 29 • Number 1 • 2006   • Intersection Preserving and Global Expansions of Subalgebras and Filters in Lattice Implication Algebras Young Bae Jun, Yang Xu and Keyun Qin Abstract. The notion of (intersection preserving, global) expansions of subalgebras and filters in lattice implication algebras is introduced. Also the notion of σ-primary filters in lattice implication algebras is discussed. The concept of residual division is defined, and related properties are investigated. We show that the homomorphic and inverse image of σ-primary filter are also σ-primary. 2000 Mathematics Subject Classification: 03G25, 06D05, 06D99. Full text: PDF