Computations and Combinatorics in Commutative Algebra

Featuring up-to-date coverage of three topics lying at the intersection of combinatorics and commutative algebra, namely Koszul algebras, primary decompositions and subdivision operations in simplicial complexes, this book has its focus on computations. "Computations and Combinatorics in Commutative Algebra" has been written by experts in both theoretical and computational aspects of these three subjects and is aimed at a broad audience, from experienced researchers who want to have an easy but deep review of the topics covered to postgraduate students who need a quick introduction to the techniques. The computational treatment of the material, including plenty of examples and code, will be useful for a wide range of professionals interested in the connections between commutative algebra and combinatorics.

Provides an up-to-date survey of three important topics at the intersection of combinatorics and commutative algebra Numerous examples and algorithms illustrate relevant computational aspects of the subject Gives a broad introduction to important topics aimed at researchers of all levels Includes supplementary material: sn.pub/extras

Inhalt
1 Koszul algebras and computations, Authors: Bigatti, DeNegri.- 2 Primary decompositions, Authors: Swanson, Sáenz de Cabezón.- 3 Subdivision operations, Authors: Welker, Mohammadi.