Lectures on Modules and Rings

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Lectures on Modules and Rings

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Lectures on Modules and Rings

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Lectures on Modules and Rings

1 Free Modules Projective and Injective Modules. - 1. Free Modules. - 2. Projective Modules. - 3. Injective Modules. - 31. Matlis' Theory. - 2 Flat Modules and Homological Dimensions. - 4. Flat and Faithfully Flat Modules. - 41. Faithfully Flat Modules. - 5. Homological Dimensions. - 3 More Theory of Modules. - 6. Uniform Dimensions Complements and CS Modules. - 7. Singular Submodules and Nonsingular Rings. - 8. Dense Submodules and Rational Hulls. - 4 Rings of Quotients. - 9. Noncommutative Localization. - 10. Classical Rings of Quotients. - 11. Right Goldie Rings and Goldie's Theorems. - 12. Artinian Rings of Quotients. - 5 More Rings of Quotients. - 13. Maximal Rings of Quotients. - 14. Martindale Rings of Quotients. - 6 Frobenius and Quasi-Frobenius Rings. - 15. Quasi-Frobenius Rings. - 16. Frobenius Rings and Symmetric Algebras. - 7 Matrix Rings Categories of Modules and Morita Theory. - 17. Matrix Rings. - 18. Morita Theory of Category Equivalences. - 19. Morita Duality Theory. - References. - Name Index. Language: English
  • Brand: Unbranded
  • Category: Education
  • Format: Paperback
  • Language: English
  • Publication Date: 2012/09/18
  • Publisher / Label: Springer
  • Fruugo ID: 337896010-741555333
  • ISBN: 9781461268024
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