حلقه ها، مدول ها، جبر ها و گروه های آبلی ۲۰۲۰
Rings, Modules, Algebras, and Abelian Groups 2020

1. Contents

2. Chapter 1 Additive Galois Theory of Modules

3. Chapter 2 Finitely Generated and Cogenerated Qd Groups

4. Chapter 3 Direct Limits of Modules of Finite Projective Dimension

5. Chapter 4 Classification of a Class of Almost Completely Decomposable Groups

6. Chapter 5 A Polynomial Ring Sampler

7. Chapter 6 The Picard Group of the Ring of Integer-Valued Polynomials on a Valuation Domain

8. Chapter 7 A Note on Cotilting Modules and Generalized Morita Duality

9. Chapter 8 Dualities Induced by Cotilting Bimodules

10. Chapter 9 Symmetries and Asymmetries for Cotilting Bimodules

11. Chapter 10 A Constructive Solution to the Base Change Decomposition Problem in B (1)-Groups

12. Chapter 11 On a Property of the Adele Ring of the Rationals

13. Chapter 12 On Strong Going-between, Going-down, and Their Universalizations

14. Chapter 13 Factorization of Divisorial Ideals in a Generalized Krull Domain

15. Chapter 14 Divisorial Multiplication Rings

16. Chapter 15 Global Deformations of Lie Algebras

17. Chapter 16 Maximal Prime Divisors in Arithmetical Rings

18. Contents

19. Chapter 18 Group Identities on Unit Groups of Group Algebras

20. Chapter 19 Forty Years of Commutative Ring Theory

21. Chapter 20 Modules Induced from a Normal Subgroup of Prime Index

22. Chapter 21 Uniquely Transitive Torsion-Free Abelian Groups

23. Chapter 22 Generalized .E-Rings

24. Chapter 23 Butler Modules and Bext

25. Chapter 24 Remarks on the Multiplicative Structure of Certain One-Dimensional Integral Domains

26. Chapter 25 Non-Finitely Generated Prime Ideals in Subrings of Power Series Rings

27. Chapter 26 Rings with Finitely many Orbits under the Regular Action

28. Chapter 27 Projective Covers and Injective Hulls in Abelian Length Categories

29. Chapter 28 Semigroup Rings that are inside Factorial and Their Cale Representation

30. Chapter 29 Reduced Modules

31. Chapter 30 The Mori Property in Rings with Zero Divisors

32. Chapter 31 Minimal Prime Ideals and Generalizations of Factorial Domains

33. Chapter 32 Factorizations of Monic Polynomials

34. Chapter 33 Monotone Complete Ordered Fields, Generalized Power Series, and Integer Parts

35. Chapter 34 On Distance between Finite Rings

36. Chapter 35 Affine Pairs

37. Chapter 36 When a Super-Decomposable Pure-Injective Module over a Serial Ring Exists

38. Chapter 37 Path Coalgebras of Quivers with Relations and a Tame-Wild Dichotomy Problem for Coalgebras

39. Chapter 38 On Central Galois Algebras of a Galois Algebra