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Rafael Villarreal
Monomial Algebras
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7271066Monomial Algebrashttps://www.gandhi.com.mx/monomial-algebras-9781351231589/phttps://gandhi.vtexassets.com/arquivos/ids/6820409/image.jpg?v=63873884943343000020322032MXNCRC PressInStock/Ebooks/<p><strong>Monomial Algebras, Second Edition</strong> presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including StanleyReisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs.</p><p><strong>New to the Second Edition</strong></p><ul><li></li><li>Four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs</li><li>Two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs</li><li>Full revisions of existing chapters to provide an up-to-date account of the subject</li></ul><p>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.</p>...6909686Monomial Algebras20322032https://www.gandhi.com.mx/monomial-algebras-9781351231589/phttps://gandhi.vtexassets.com/arquivos/ids/6820409/image.jpg?v=638738849433430000InStockMXN99999DIEbook20189781351231589_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9781351231589_<p><strong>Monomial Algebras, Second Edition</strong> presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including StanleyReisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs.</p><p><strong>New to the Second Edition</strong></p><ul><li></li><li>Four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs</li><li>Two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs</li><li>Full revisions of existing chapters to provide an up-to-date account of the subject</li></ul><p>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.</p>...9781351231589_CRC Presslibro_electonico_9781351231589_9781351231589Rafael VillarrealInglésMéxicohttps://getbook.kobo.com/koboid-prod-public/taylorandfrancis-epub-4d6d1e60-3fe4-45c5-8c43-21673ca22ebd.epub2018-10-08T00:00:00+00:00CRC Press