On <i>S</i>-Evolution Algebras and Their Enveloping Algebras

On <i>S</i>-Evolution Algebras and Their Enveloping Algebras

In the present paper, we introduce <i>S</i>-evolution algebras and investigate their solvability, simplicity, and semisimplicity. The structure of enveloping algebras has been carried out through the attached graph of <i>S</i>-evolution algebras. Moreover, we introduce the co...

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Bibliographic Details
Main Authors: Farrukh Mukhamedov, Izzat Qaralleh
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Mathematics
Subjects:
evolution algebra
<i>S</i>-evolution algebra
enveloping algebra
derivation
Online Access:https://www.mdpi.com/2227-7390/9/11/1195
Description
Summary:In the present paper, we introduce <i>S</i>-evolution algebras and investigate their solvability, simplicity, and semisimplicity. The structure of enveloping algebras has been carried out through the attached graph of <i>S</i>-evolution algebras. Moreover, we introduce the concept of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">E</mi></semantics></math></inline-formula>-linear derivation of <i>S</i>-evolution algebras, and prove such derivations can be extended to their enveloping algebras under certain conditions.
ISSN:2227-7390

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