On S-Evolution Algebras and Their Enveloping Algebras

Mathematics

卷:9

Farrukh Mukhamedov¹  Izzat Qaralleh² 

[1] Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain P.O. Box 15551, United Arab Emirates;

[2] Department of Mathematics, Faculty of Science, Tafila Technical University, P.O. Box 179, Tafila 66110, Jordan;

关键词: evolution algebra;    S-evolution algebra;    enveloping algebra;    derivation;   

DOI  :  10.3390/math9111195

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown