Monomial Algebras Contributor(s): Villarreal, Rafael (Author) |
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ISBN: 1138894184 ISBN-13: 9781138894181 Publisher: CRC Press OUR PRICE: $99.00 Product Type: Paperback - Other Formats Published: March 2018 |
Additional Information |
BISAC Categories: - Mathematics | Algebra - General - Mathematics | Applied - Mathematics | Combinatorics |
Dewey: 512 |
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathemat |
Physical Information: 704 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Monomial Algebras, Second Edition 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 Second 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. |