Monomial Algebras presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley-Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs.
New to the Third Edition
Bringing together several areas of pure and applied mathematics, this book shows how monomial algebras are related to polyhedral geometry, combinatorial optimization, and combinatorics of hypergraphs. It directly links the algebraic properties of monomial algebras to combinatorial structures (such as simplicial complexes, posets, digraphs, graphs, and clutters) and linear optimization problems.
| ISBN: | 9781041065296 |
| Publication date: | 8th April 2026 |
| Author: | Rafael H Villarreal |
| Publisher: | Chapman & Hall/CRC an imprint of CRC Press |
| Format: | Hardback |
| Pagination: | 754 pages |
| Series: | Chapman & Hall/CRC Monographs and Research Notes in Mathematics |
| Genres: |
Algebra Number theory Combinatorics and graph theory Discrete mathematics |
Monomial Algebras presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley-Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs.New to the Third Edition Two full new chapters covering linear and Reed-Muller-type codes (chapter 9), and the containment problem and the resurgence of ideals (chapter 16) Extensive addition of new sections throughout the existing chapters to bring the book up-to-date and make it even more comprehensive A new appendix detailing software procedures for use alongside the book Bringing together several areas of pure and applied mathematics, this book shows how monomial algebras are related to polyhedral geometry, combinatorial optimization, and combinatorics of hypergraphs.
Monomial Algebras features in the following genres: Algebra, Number theory, Combinatorics and graph theory, Discrete mathematics
Hardback, Paperback. £211.50, down from the £235.00 cover price. Not Available.
Monomial Algebras was written by Rafael H Villarreal and published by Chapman & Hall/CRC an imprint of CRC Press
Monomial Algebras has 754 pages
Yes it is part of Chapman & Hall/CRC Monographs and Research Notes in Mathematics series
£211.50, reduced from £235.00. Not Available.