1. Preliminaries -- 2. Basic general constructions of groups and rings -- 3. Valuation rings -- 4. Homological dimensions of rings and modules -- 5. Goldie and Krull dimensions of rings and modules -- 6. Rings and finiteness conditions -- 7. Modules with change property and change rings -- 8. Hereditary and semihereditary rings. Piecewise domains -- 9. Serial nonsingular rings. Jacobson's conjecture