On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex
Аннотация
AbstractIn 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 of maximal nilindex, allows the set exp(Der(E)) to be investigated. Moreover exp(Der(E)) is shown to be a normal subgroup of Aut(E), and its corresponding index is calculated.COMMUNICATED BY: B. MeiniKeywords: Evolution algebraderivationautomorphismnorm algebra AcknowledgmentsFinally, the authors are greatly indebted to anonymous referee for carefully reading the manuscript and providing useful suggestions/comments which contributed to improving the quality and presentation of the paper.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe present work is supported by the UAEU UPAR Grant Code: G00003447. The authors thanks Prof. E. Bashkirov for his valuable discussions.