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Monomial Algebras by Rafael Villarreal at Abbey's Bookshop,
Monomial Algebras
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Rafael Villarreal

Monomial Algebras

Rafael Villarreal

$162

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English
CRC Press
12 March 2018
Algebra
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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 subject

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.
By:  
Imprint:   CRC Press
Country of Publication:   United Kingdom
Edition:   2nd edition
Dimensions:   Height: 234mm,  Width: 156mm, 
Weight:   453g
ISBN:   9781138894181
ISBN 10:   1138894184
Series:   Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Pages:   704
Publication Date:  
Audience:   College/higher education ,  General/trade ,  Primary ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active

Dr. Rafael H. Villarreal is a professor in the Department of Mathematics at the Centro de Investigación y de Estudios Avanzados del I.P.N. (Cinvestav-IPN). His research focuses on commutative algebra, algebraic geometry, combinatorics, and computational algebra.

Reviews for Monomial Algebras

... an introduction to algebraic, combinatorial, and computational aspects of monomial ideals. In the second edition, a full revision of all the chapters has been made. -Zentralblatt MATH 1325


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