Genetic Volterra algebras and their derivations

Rasul Ganikhodzhaev, Farrukh Mukhamedov, Abror Pirnapasov, Izzat Qaralleh

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

The present paper is devoted to genetic Volterra algebras. We first study characters of such algebras. We fully describe associative genetic Volterra algebras, in this case all derivations are trivial. In general setting, i.e., when the algebra is not associative, we provide a sufficient condition to get trivial derivation on generic Volterra algebras. Furthermore, we describe all derivations of three dimensional generic Volterra algebras, which allowed us to prove that any local derivation is a derivation of the algebra.

Original languageEnglish
Pages (from-to)1353-1366
Number of pages14
JournalCommunications in Algebra
Volume46
Issue number3
DOIs
Publication statusPublished - Mar 4 2018

Keywords

  • Associative
  • Volterra algebra
  • derivation
  • generic algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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