On s-evolution algebras and their enveloping algebras

Farrukh Mukhamedov, Izzat Qaralleh

Research output: Contribution to journalArticlepeer-review

1 Citation (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 languageEnglish
Article number1195
JournalMathematics
Volume9
Issue number11
DOIs
Publication statusPublished - Jun 1 2021

Keywords

  • Derivation
  • Enveloping algebra
  • Evolution algebra
  • S-evolution algebra

ASJC Scopus subject areas

  • Mathematics(all)

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