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Monomial Algebras - Chapman & Hall / CRC Monographs and Research Notes in Mathematics Rafael H. Villarreal 2nd edition
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Monomial Algebras - Chapman & Hall / CRC Monographs and Research Notes in Mathematics
Rafael H. Villarreal
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
Four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs Two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs Full revisions of existing chapters to provide an up-to-date account of the subjectBringing 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.
704 pages, 106 Illustrations, black and white
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | March 12, 2018 |
| ISBN13 | 9781138894181 |
| Publishers | Taylor & Francis Ltd |
| Pages | 704 |
| Dimensions | 233 × 157 × 43 mm · 1.06 kg |
| Language | English |
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