Fundamental Structures in Abstract Algebra

Abstract

Abstract algebra is a core area of modern mathematics that studies algebraic structures such as groups, rings, and fields. These structures provide a unifying framework to understand symmetry, operations, and number systems across various mathematical disciplines. This paper offers an introductory overview of the key properties and examples of groups, rings, and fields, highlighting their interrelations and significance in theoretical and applied mathematics. Emphasis is placed on structure-preserving mappings, substructures, and classical theorems that form the foundation for further studies in algebra, number theory, and cryptography.

Cite as:

Nitesh Chavan. (2025). Fundamental Structures in Abstract Algebra. Journal of Applied Mathematics and Statistical Analysis, 6(2), 38–42.

https://doi.org/10.5281/zenodo.16411858