On S-Evolution Algebras and Their Enveloping Algebras
Farrukh MukhamedovDepartment of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain P.O. Box 15551, United Arab EmiratesIzzat QarallehDepartment of Mathematics, Faculty of Science, Tafila Technical University, P.O. Box 179, Tafila 66110, Jordan
2021en
ABI
Annotatsiya
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.
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