Algebraic structures, such as groups, rings and fields, provide a rigorous language for expressing symmetry and invariance in numerous mathematical contexts. Their integration with the theory of ...

Superintegrable systems represent a fascinating class of models in both classical and quantum mechanics, characterised by the existence of more independent constants of motion than would be expected ...

In this paper we undertake to examine how algebra, its tools and its methods, can be used to formulate the mathematics used in applications. We give particular attention to the mathematics used in ...

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications—CaCNAS: FA 2021, ...

Algebraic structures are part of the axiomatic mathematics and are the start for an intercourse in the studies in algebra. Another important property for a group is the commutative property which ...

Number theory studies the integers and mathematical objects constructed from them. Carl Friedrich Gauss once said, "Mathematics is the queen of the sciences, and number theory is the queen of ...

This Paper addresses the limitations of classical machine learning approaches primarily developed for data lying in Euclidean space. Modern machine learning increasingly encounters richly structured ...

Here I’m counting isomorphic guys as the same. But how much do we know about such sequences in general? For example, is there any sort of algebraic gadget where the number of gadgets with n n elements ...