Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

Let $U$ be an open semi-algebraic subset of $\mathbf{R}^n$ and let $X$ be a closed analytic subset of $U$ which is also a semi-algebraic set (e.g., $U = \mathbf{R}^n ...

Almost perfect nonlinear (APN) functions play a pivotal role in cryptography, particularly in securing symmetric key algorithms against differential attacks. Their algebraic properties, including ...

In this paper we deal with the following problems: When do the solutions of a collection of differential equations satisfy an elementary relation, that is, when is there an equation of the form R = 0 ...