Volterra evolution algebras and their graphs

Izzat Qaralleh, Farrukh Mukhamedov

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this paper, we introduce Volterra evolution algebras which are evolution algebras whose structural matrices are described by skew symmetric matrices. A main result of the present paper gives a connection between such kind of algebras with ergodicities of Volterra quadratic stochastic operators. Furthermore, some of the properties of the considered algebras such as nilpotency, derivations have been studied as well.

Original languageEnglish
Pages (from-to)2228-2244
Number of pages17
JournalLinear and Multilinear Algebra
Volume69
Issue number12
DOIs
Publication statusPublished - 2021

Keywords

  • Evolution algebra
  • Volterra quadratic stochastic operator
  • derivation
  • isomorphism
  • nilpotent

ASJC Scopus subject areas

  • Algebra and Number Theory

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