Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex

Farrukh Mukhamedov, Otabek Khakimov, Bakhrom Omirov, Izzat Qaralleh

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


This paper is devoted to the nilpotent finite-dimensional evolution algebras E with dim E2 =dim E - 1. We describe the Lie algebra of derivations of these algebras. Moreover, in terms of these Lie algebras, we fully construct nilpotent evolution algebra with maximal index of nilpotency. Furthermore, this result allowed us fully characterize all local and 2-local derivations of the considered evolution algebras. Besides, all automorphisms and local automorphisms of these algebras are found.

Original languageEnglish
Article number1950233
JournalJournal of Algebra and its Applications
Issue number12
Publication statusPublished - Dec 1 2019


  • Evolution algebra
  • automorphism
  • derivation
  • local derivation

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


Dive into the research topics of 'Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex'. Together they form a unique fingerprint.

Cite this