Monomial Ideals and Their Decompositions

• Main Authors: Moore, W. Frank (Author, http://id.loc.gov/vocabulary/relators/aut), Rogers, Mark (http://id.loc.gov/vocabulary/relators/aut), Sather-Wagstaff, Sean (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Universitext,
• Subjects: Commutative algebra.; Commutative rings.; Computer science-Mathematics.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Algebraic topology.; Algebraic geometry.; Commutative Rings and Algebras.; Symbolic and Algebraic Manipulation.; Associative Rings and Algebras.; Category Theory, Homological Algebra.; Algebraic Topology.; Algebraic Geometry.

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate studen...