Malaysian Journal of Mathematical Sciences, September 2025, Vol. 19, No. 3
On Exact Sequences for Some Evolution Algebras
Qaralleh, I.
Corresponding Email: izzat_math@yahoo.com
Received date: 2 October 2024
Accepted date: 13 April 2025
Abstract:
In this paper, we construct exact sequences within evolution algebras, with a focus on their structure and properties. We provide a framework for building exact sequences and include illustrative examples. Key results include the isomorphism theorem, the splitting lemma, and the Five Lemma. Furthermore, we apply these sequences to the class of $S-$evolution algebras.
Keywords: evolution algebras; exact sequences; algebraic structures; isomorphism theorem; splitting lemma; five lemma
