eBook - ePub

Monomial Algebras

Name: Monomial Algebras
Author: Rafael Villarreal,Rafael H. Villarreal

Rafael Villarreal,

Rafael H. Villarreal,

704 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Monomial Algebras

Rafael Villarreal,

Rafael H. Villarreal,

About this book

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.

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Yes, you can access Monomial Algebras by Rafael Villarreal,Rafael H. Villarreal in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.