This book is the natural continuation of Computational Commutative Algebra 1 with some twists. The main part of this book is a breathtaking passeggiata through the computational domains of graded rings and modules and their Hilbert functions. Besides GrΓΆbner bases, we encounter Hilbert bases, border
Computational aspects of commutative algebra
β Scribed by Lorenzo Robbiano
- Book ID
- 127421533
- Publisher
- Academic Press
- Year
- 1989
- Tongue
- English
- Weight
- 2 MB
- Category
- Library
- City
- London; San Diego
- ISBN-13
- 9780125895903
No coin nor oath required. For personal study only.
β¦ Synopsis
We give a self-contained exposition of Mayr & Meyer's example of a polynomial ideal exhibiting double exponential degrees for the ideal membership problem, and generalise this example to exhibit minimal syzygies of double exponential degree. This demonstrates the existence of subschemes of projective space of double exponential regularity.
π SIMILAR VOLUMES
Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation,
Corso (mathematics, University of Kentucky) collects refereed research papers on developments at the interface of commutative algebra and algebraic geometry. Blowup algebras, Castelnuovo-Mumford regularity, integral closure and normality, Koszul homology, liaison theory, and reductions of ideals are
This book is the natural continuation of **Computational Commutative Algebra 1 with some twists.** The main part of this book is a breathtaking *passeggiata* through the computational domains of graded rings and modules and their Hilbert functions. Besides Gr?bner bases, we encounter Hilbert bases,
Bridges the current gap in the literature between theory and real computation of Groebner bases and their applications. A comprehensive guide to both the theory and practice of computational commutative algebra, ideal for use as a textbook for graduate or undergraduate students. Contains tutorials o