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On S -Evolution Algebras and Their Enveloping Algebras

Author

Listed:
  • 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)

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.

Suggested Citation

  • Farrukh Mukhamedov & Izzat Qaralleh, 2021. "On S -Evolution Algebras and Their Enveloping Algebras," Mathematics, MDPI, vol. 9(11), pages 1-23, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:11:p:1195-:d:561633
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    References listed on IDEAS

    as
    1. M. Eugenia Celorrio & M. Victoria Velasco, 2019. "Classifying Evolution Algebras of Dimensions Two and Three," Mathematics, MDPI, vol. 7(12), pages 1-25, December.
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