Rings, Polynomials, and Modules
This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented...
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Other Authors: | , , , , |
Format: | Electronic eBook |
Language: | English |
Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Preface
- 1 Reducing Fractions to Lowest Terms
- 2 Unique Factorization in Torsion-free Modules
- 3 n-Absorbing Ideals of Commutative Rings and Recent Progresses on Three Conjectures: A Survey
- 4 Embedding Dimension and Codimension of Tensor Products of Algebras Over a Field
- 5 Minimal Generating Sets for the D-Algebra Int(S,D)
- 6 Algebraic Entropy in Locally Linearly Compact Vector Spaces
- 7 Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat
- 8 Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions
- 9 Applications of Multisymmetric Syzygies in Invariant Theory
- 10 Functorial Properties of Star Operations: New Developments
- 11 Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids
- 12 Corner’s Realization Theorems from the Viewpoint of Algebraic Entropy
- 13 Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks
- 14 Divisorial Prime Ideals in Prüfer Domains
- 15 A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative
- 16 Quasi-Prüfer Extensions of Rings
- 17 A Note on Analytically Irreducible Domains
- 18 Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Questions.