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 ...

Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have ...

Abstract: Electro mechanical systems are naturally expressed as differential and algebraic equations because the systems are constrained by the Kirchhoff's law. In order to examine local observability ...

This project is a Python script designed to generate various algebraic structures such as semigroups, Abelian groups, and subgroups of a given order. It provides functionalities to explore and ...

Abstract: In this paper we consider two semi-tensor product (STP) based algebraic structures. First, the set of matrices of arbitrary dimensions (including scalars as 1 × 1 dimensional matrices) is ...

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 ...