Combinatorics and Computation in Commutative Algebra

Commutative algebra is a classical area of mathematics that studies algebraic structures over commutative rings. Following the fundamental works of R. Dedekind, D. Hilbert, E. Noether and W. Krull, among others, it became an independent field in the 1930s. One of the most outstanding starting points was the work of Hilbert on ideals in a polynomial ring and their free resolutions, a topic that has been a permanently active line of research ever since.

From its early stage, commutative algebra has also had deep interactions with other disciplines of mathematics such as algebraic geometry, number theory, representation theory, algebraic topology and, more recently, algebraic combinatorics, computational algebra, coding theory or cryptography.

Commutative algebra has, in particular, a strong interplay with combinatorics, from which it extracts and to which it transfers ideas, results, and techniques. On the other hand, algorithmic methods have acquired an important role in commutative algebra due to the development of techniques based on Gröbner bases, which have allowed the creation of powerful algorithms.

The aim of this Special Issue of Mathematics is to show recent trends on combinatorial and computational aspects of commutative algebra and its applications. We cordially invite you to present your recent contributions to this Special Issue.

Prof. Dr. Philippe Gimenez
Prof. Dr. Ignacio García Marco
Prof. Dr. Eduardo Sáenz De Cabezón
Guest Editors

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