Malaysian Journal of Mathematical Sciences, June 2024, Vol. 18, No. 2


Algebraic Structures on Two-Dimensional Vector Space Over Any Basic Field

Rakhimov, I. S.

Corresponding Email: isamiddin@uitm.edu.my

Received date: 16 October 2023
Accepted date: 14 January 2024

Abstract:
In the paper we utilize a new approach to the classification problem of finite-dimensional algebras. We give a complete classifications of associative and diassociative algebra structures on two-dimensional vector space over any basic field.

Keywords: associative algebra, diassociative algebra, classification