Monomial Algebras
商品資訊
系列名:Research Notes in Mathematics Series
ISBN13:9781482234695
出版社:Taylor & Francis
作者:Rafael Villarreal
出版日:2015/04/02
裝訂/頁數:精裝/704頁
規格:23.5cm*15.9cm*3.8cm (高/寬/厚)
版次:2
商品簡介
The book stresses the interplay between several areas of pure and applied mathematics, emphasizing the central role of monomial algebras. It unifies the classical results of commutative algebra with central results and notions from graph theory, combinatorics, linear algebra, integer programming, and combinatorial optimization. The book introduces various methods to study monomial algebras and their presentation ideals, including Stanley-Reisner rings, subrings and blowup algebra-emphasizing square free quadratics, hypergraph clutters, and effective computational methods.
作者簡介
Dr. Rafael H. Villarreal is a professor in the Department of Mathematics at the Centro de Investigacion y de Estudios Avanzados del I.P.N. (Cinvestav-IPN). His research focuses on commutative algebra, algebraic geometry, combinatorics, and computational algebra.
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