Cyclic Modules and the Structure of Rings

ISBN: 9780199664511 出版年：2013 页码：231 Jain, S K Srivastava, Ashish K Tuganbaev, Askar A Oxford University Press

Preface 1. Preliminaries 2. Rings characterized by their proper factor rings 3. Rings each of whose proper cyclic modules has a chain condition 4. Rings each of whose cyclic modules is injective (or CS) 5. Rings each of whose proper cyclic modules is injective 6. Rings each of whose simple modules is injective (or -injective) 7. Rings each of whose (proper) cyclic modules is quasi-injective 8. Rings each of whose (proper) cyclic modules is continuous 9. Rings each of whose (proper) cyclic modules is pi-injective 10. Rings with cyclics @0-injective, weakly injective or quasi-projective 11. Hypercyclic, q-hypercyclic and pi-hypercyclic rings 12. Cyclic modules essentially embeddable in free modules 13. Serial and distributive modules 14. Rings characterized by decompositions of their cyclic modules 15. Rings each of whose modules is a direct sum of cyclic modules 16. Rings each of whose modules is an I0-module 17. Completely integrally closed modules and rings 18. Rings each of whose cyclic modules is completely integrally closed 19. Rings characterized by their one-sided ideals References Index