Lectures on Modules and Rings
Springer-Verlag New York Inc.
978-1-4612-6802-4 (ISBN)
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.
Reihe/Serie | Graduate Texts in Mathematics ; 189 |
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Zusatzinfo | XXIII, 557 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
ISBN-10 | 1-4612-6802-8 / 1461268028 |
ISBN-13 | 978-1-4612-6802-4 / 9781461268024 |
Zustand | Neuware |
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