Advances in Commutative Algebra [electronic resource] : Dedicated to David F. Anderson /
Badawi, Ayman.editor.
Coykendall, Jim.editor.
This book highlights the contributions of the eminent mathematician and leading algebraist David F. Anderson in wide-ranging areas of commutative algebra. It provides a balance of topics for experts and non-experts, with a mix of survey papers to offer a synopsis of developments across a range of areas of commutative algebra and outlining Anderson’s work. The book is divided into two sections—surveys and recent research developments—with each section presenting material from all the major areas in commutative algebra. The book is of interest to graduate students and experienced researchers alike.
Chapter 1. Strongly Divided Pairs of Integral Domains -- Chapter 2. Strongly Additively Regular Rings and Graphs -- Chapter 3. Intersections of Prufer Overrings -- Chapter 4. A Survey of David Anderson’s Mathematical Works -- Chapter 5. Isomorphisms of Zero-Divisor Graphs -- Chapter 6. On t-Reductions and t-Integral Closure of Ideals in Integral Domains -- Chapter 7. David Anderson’s Work on Graded Integral Domains -- Chapter 8. x-Divisor Pseudographs and Isotopy Invariants of Commutative Quasigroups -- Chapter 9. Local Types of Classical Rings -- Chapter 10. How Elements Really Factor In Z -- Chapter 11. t-Local Domains and Valuation Domains.
This book highlights the contributions of the eminent mathematician and leading algebraist David F. Anderson in wide-ranging areas of commutative algebra. It provides a balance of topics for experts and non-experts, with a mix of survey papers to offer a synopsis of developments across a range of areas of commutative algebra and outlining Anderson’s work. The book is divided into two sections—surveys and recent research developments—with each section presenting material from all the major areas in commutative algebra. The book is of interest to graduate students and experienced researchers alike.
Commutative algebra.
Commutative rings.
Combinatorics.
Commutative Rings and Algebras.
Combinatorics.