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.
|Publication status||Published - Jun 1 2021|
- Enveloping algebra
- Evolution algebra
- S-evolution algebra
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