On chains and Rota-Baxter operators of evolution algebras
Manuel Ladra, Sherzod N. Murodov
TL;DR
This paper explores new classes of chains of evolution algebras and their dynamics over time, along with the construction of Rota-Baxter operators for these algebras, advancing understanding of their structural properties.
Contribution
It introduces novel classes of evolution algebra chains and develops Rota-Baxter operators specific to these algebras, expanding the theoretical framework.
Findings
New classes of evolution algebra chains identified
Construction methods for Rota-Baxter operators developed
Insights into the time-dependent dynamics of these algebras
Abstract
The paper is devoted to study new classes of chains of evolution algebras and their time-depending dynamics. Moreover, we construct some Rote-Baxter operators of such algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms