Chapter 1. Introduction; Chapter 2. Gosets, Generalized Lattices, Generalized Boolean Algebras, and the Corresponding Operations; Chapter 3. Generalized Ideals and their Variety. Stone Family of Prime Generalized Ideals; Chapter 4. Generalized Filters and their Variety. Generalized Duality between Generalized Ideals and Generalized Filters; Chapter 5. Generalized Homomorphisms and Generalized Isomorphisms; Chapter 6. ( i, j) – Atoms and ( i, j) – Atomic Generalized Boolean Algebras; Chapter 7. Generalized Boolean Factor Algebras; Chapter 8. Generalized Fields of Sets and the Generalized Field Representation of a General Boolean Algebra; Chapter 9. Bitopological Representation of a Generalized Boolean Algebra; Chapter 10. Generalized Boolean Rings; List of Special Symbols and Notations; Index; References.