Distributive Modules and Related Topics
Askar Akanovich Tuganbaev
Abstract
Askar Akanovich Tuganbaev
Abstract
1. Projective and Injective Modules 2. Bezout and Regular Modules 3. Continuous and Finite-Dimensional Modules 4. Classical Localizations 5. Flat Modules and Semiperfect Rings 6. Semihereditary Rings 7. Endomorphism Rings and Distributivity 8. Q max (A) and Nonsingular Rings 9. Polynomials, Series and Quaternions 10. Semidistributive Rings and Modules 11. Distributive Group and Monoid Rings 11. Rings Related to Commutative Rings 12. Self-injective and Skew-injective Rings 13. Radicals, Local and Semisimple Modules 14. Rings with Maximun Conditions
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1. Projective and Injective Modules 2. Bezout and Regular Modules 3. Continuous and Finite-Dimensional Modules 4. Classical Localizations 5. Flat Modules and Semiperfect Rings 6. Semihereditary Rings 7. Endomorphism Rings and Distributivity 8. Q max (A) and Nonsingular Rings 9. Polynomials, Series and Quaternions 10. Semidistributive Rings and Modules 11. Distributive Group and Monoid Rings 11. Rings Related to Commutative Rings 12. Self-injective and Skew-injective Rings 13. Radicals, Local and Semisimple Modules 14. Rings with Maximun Conditions
Key concepts: Endomorphism, Mathematics, Pure mathematics, Injective module, Injective function, Semisimple module, Von Neumann regular ring, Noncommutative ring