A Guide to Closure Operations in Commutative Algebra

Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents vii
4. A Guide to Closure Operations in Commutative Algebra 1
5. A Survey of Test Ideals 39
6. Finite-dimensional Vector Spaces with Frobenius Action 101
7. Finiteness and Homological Conditions in Commutative Group Rings 129
8. Regular Pullbacks 145
9. Noetherian Rings without Finite Normalization 171
10. Krull Dimension of Polynomial and Power Series Rings 205
11. The Projective Line over the Integers 221
12. On Zero Divisor Graphs 241
13. A Closer Look at Non-Unique Factorization via Atomic Decay and Strong Atoms 301