Ring Theory

(Hebrew: תורת החוגים or אלגברה לא קומוטטיבית.)

The official course website is on the Moodle system.

Lecture notes (in Hebrew)

• Lecture 1. Introduction: Simple Rings
• Lecture 2. Introduction: Simple Rings + Modules
• Lecture 3. Modules
• Lecture 4. Modules
• Lecture 5. Modules
• Lecture 6. Modules
• Lecture 7. Modules
• Lecture 8. Chain Conditions
• Lecture 9. Chain Conditions
• Lecture 10. Chain Conditions
• Lecture 11. Semisimple Rings
• Lecture 12. Semisimple Rings
• Lecture 13. Semisimple Rings
• Lecture 14. Semisimple Rings
• Lecture 15. Semisimple Rings
• Lecture 16. Semisimple Rings, Jacobson Radical
• Lecture 17. Jacobson Radical
• Lecture 18. Jacobson Radical
• Lecture 19. Jacobson Radical
• Lecture 20. Jacobson Radical
• Lecture 21. Jacobson Radical
• Lecture 22. Indecomposable Modules
• Lecture 23. Indecomposable Modules
• Lecture 24. Indecomposable Modules
• Lecture 25. Indecomposable Modules
• Lecture 26. Indecomposable Modules

Exercises (in Hebrew)

• Exercise 1. Simple Rings + Modules
• Exercise 2. Modules
• Exercise 3. Chain Conditions
• Exercise 4. Composition Series
• Exercise 5. Semisimple Rings
• Exercise 6. Repersentations, Jacobson Radical
• Exercise 7. Jacobson's Density Theorem, Indecomposable Modules
• Exercise 8. Indecomposable Modules