English

On $\exp(Der(E))$ of nilpotent evolution algebras

Functional Analysis 2022-07-07 v1 Rings and Algebras

Abstract

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))\exp(Der(E)). Moreover, it is proved that exp(Der(E))\exp(Der(E)) is a normal subgroup of Aut(E)Aut(E), and its corresponding index is calculated.

Cite

@article{arxiv.2207.02684,
  title  = {On $\exp(Der(E))$ of nilpotent evolution algebras},
  author = {Farrukh Mukhamedov and Otabek Khakimov and Izzat Qaralleh},
  journal= {arXiv preprint arXiv:2207.02684},
  year   = {2022}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1805.10285

R2 v1 2026-06-24T12:15:56.853Z