{"product_id":"monomial-algebras-rafael-h-villarreal-9781482234695","title":"Monomial Algebras","description":"\u003cp\u003e\u003cstrong\u003eMonomial Algebras, Second Edition\u003c\/strong\u003e 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. \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eNew to the Second Edition\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eFour new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs\u003c\/li\u003e \u003cli\u003eTwo new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs \u003c\/li\u003e \u003cli\u003eFull revisions of existing chapters to provide an up-to-date account of the subject\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eBringing 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. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Rafael H. Villarreal\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1482234696\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781482234695\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/26\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 704\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.50lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.30w x 1.70d","brand":"Rafael H. Villarreal","offers":[{"title":"Hardcover","offer_id":48088375853311,"sku":"9781482234695","price":265.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_78f94bc2-542a-467f-bf73-75d6af27dcc5.jpg?v=1769104492","url":"https:\/\/www.whiterainbookhouse.com\/products\/monomial-algebras-rafael-h-villarreal-9781482234695","provider":"WR Book House","version":"1.0","type":"link"}