On s-evolution algebras and their enveloping algebras

Farrukh Mukhamedov; Izzat Qaralleh

doi:10.3390/math9111195

On s-evolution algebras and their enveloping algebras

Farrukh Mukhamedov, Izzat Qaralleh

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In the present paper, we introduce S-evolution algebras and investigate their solvability, simplicity, and semisimplicity. The structure of enveloping algebras has been carried out through the attached graph of S-evolution algebras. Moreover, we introduce the concept of ε-linear derivation of S-evolution algebras, and prove such derivations can be extended to their enveloping algebras under certain conditions.

Original language	English
Article number	1195
Journal	Mathematics
Volume	9
Issue number	11
DOIs	https://doi.org/10.3390/math9111195
Publication status	Published - Jun 1 2021

Keywords

Derivation
Enveloping algebra
Evolution algebra
S-evolution algebra

ASJC Scopus subject areas

Mathematics(all)

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10.3390/math9111195

Cite this

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abstract = "In the present paper, we introduce S-evolution algebras and investigate their solvability, simplicity, and semisimplicity. The structure of enveloping algebras has been carried out through the attached graph of S-evolution algebras. Moreover, we introduce the concept of ε-linear derivation of S-evolution algebras, and prove such derivations can be extended to their enveloping algebras under certain conditions.",

keywords = "Derivation, Enveloping algebra, Evolution algebra, S-evolution algebra",

author = "Farrukh Mukhamedov and Izzat Qaralleh",

note = "Funding Information: Funding: This research was funded by UAEU UPAR Grant No. G00003447 for support. Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

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AB - In the present paper, we introduce S-evolution algebras and investigate their solvability, simplicity, and semisimplicity. The structure of enveloping algebras has been carried out through the attached graph of S-evolution algebras. Moreover, we introduce the concept of ε-linear derivation of S-evolution algebras, and prove such derivations can be extended to their enveloping algebras under certain conditions.

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KW - Enveloping algebra

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KW - S-evolution algebra

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On s-evolution algebras and their enveloping algebras

Abstract

Keywords

ASJC Scopus subject areas

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