Monomial Algebras, Second Edition
Monomial Algebras, Second Edition (Monographs and Research Notes in Mathematics, Book 8) by Rafael Villarreal
English | 2015 | ISBN: 1482234696 | 704 pages | PDF | 4,7 MB
English | 2015 | ISBN: 1482234696 | 704 pages | PDF | 4,7 MB
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.
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