On S -Evolution Algebras and Their Enveloping Algebras

Farrukh Mukhamedov and Izzat Qaralleh
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Farrukh Mukhamedov: Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain P.O. Box 15551, United Arab Emirates
Izzat Qaralleh: Department of Mathematics, Faculty of Science, Tafila Technical University, P.O. Box 179, Tafila 66110, Jordan

Mathematics, 2021, vol. 9, issue 11, 1-23

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 E -linear derivation of S -evolution algebras, and prove such derivations can be extended to their enveloping algebras under certain conditions.

Keywords: evolution algebra; S -evolution algebra; enveloping algebra; derivation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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