On $\exp(Der(E))$ of nilpotent evolution algebras
Farrukh MukhamedovDepartment of Mathematical Sciences , College of Science , United Arab Emirates University 15551 , Al-Ain , Abu Dhabi , United Arab EmiratesOtabek KhakimovAKFA University , 1st Deadlock 10 , Kukcha Darvoza , 100095 Tashkent , UzbekistanIzzat QarallehDepartment of Mathematics Faculty of Science , Tafila Technical University P.O. Box , 179 , Tafila , Jordan
2022en
ABI
Annotatsiya
In the present paper, every evolution algebra is endowed with Banach algebra norm. This together with the description of derivations and automorphisms of nilpotent evolution algebras, allows to investigated the set $\exp(Der(E))$. Moreover, it is proved that $\exp(Der(E))$ is a normal subgroup of $Aut(E)$, and its corresponding index is calculated.
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