On exp(Der(E)) of nilpotent evolution algebras of maximal nilindex

Farrukh Mukhamedov, Otabek Khakimov, Izzat Qaralleh

Research output: Contribution to journalArticlepeer-review

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 of maximal nilindex, allows the set (Formula presented.) to be investigated. Moreover (Formula presented.) is shown to be a normal subgroup of (Formula presented.), and its corresponding index is calculated.

Original languageEnglish
JournalLinear and Multilinear Algebra
DOIs
Publication statusAccepted/In press - 2023

Keywords

  • Evolution algebra
  • automorphism
  • derivation
  • norm algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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