Commutative Ring Theory
  1. 280 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

About this book

"Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"

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Yes, you can access Commutative Ring Theory by Paul-Jean Cahen,Douglas L. Costa,Marco Fontana,Sarah-Eddine Kabbaj in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Preface
  7. Table of Contents
  8. Contributors
  9. Seminormal Mori domains
  10. Maximality properties in numerical semigroups, with applications to one-dimensional analytically irreducible local domains
  11. The graded and tame extensions
  12. Ascending chain conditions and associated primes
  13. Polynomials whose derivatives are integer-valued in number fields
  14. Krull dimension of graded algebras
  15. Radices in commutative rings
  16. The generalized Samuel numbers
  17. Some locally trivial star-theoretic properties of integral domains
  18. The altitude formula
  19. Absolutely pure modules and locally injective modules
  20. Krull and valuative dimensions of the A + XB[X] rings
  21. Divisorial ideals and class groups of Mori domains
  22. t-invertibility and comparability
  23. AF-rings and locally Jaffard rings
  24. Prime t-ideals in R[X]
  25. A characterization of semi-artinian rings
  26. The ring of finite fractions
  27. Graded rings and modules
  28. Symbolic powers, Rees algebras and applications
  29. Soundable subsets of a spectrum and depth
  30. t - closed rings
  31. Some aspects of the asymptotic theory of ideals. Generalization to filtrations
  32. Chain conditions arising from the study of non finitely generated modules over commutative rings