Monomial Algebras (Paperback, 2nd edition)

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.

General

Imprint:	Crc Press
Country of origin:	United Kingdom
Series:	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Release date:	March 2018
First published:	2015
Authors:	Rafael Villarreal
Dimensions:	234 x 156 x 43mm (L x W x T)
Format:	Paperback
Pages:	704
Edition:	2nd edition
ISBN-13:	978-1-138-89418-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	1-138-89418-4
Barcode:	9781138894181

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