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Nonlinear bi-skew Lie-type derivations on factor von Neumann algebras

  • Mohammad Ashraf
  • , Md Shamim Akhter*
  • , Mohammad Afajal Ansari
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

Let (Formula presented.) be a factor von Neumann algebra with (Formula presented.) For any (Formula presented.) define (Formula presented.) (Formula presented.) and (Formula presented.) for all integers (Formula presented.) In this article, we prove that a map (Formula presented.) satisfies (Formula presented.) for all (Formula presented.) if and only if L is an additive *-derivation.

Original languageEnglish
Pages (from-to)4766-4780
Number of pages15
JournalCommunications in Algebra
Volume50
Issue number11
DOIs
StatePublished - 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022 Taylor & Francis Group, LLC.

Keywords

  • Additive *-derivation
  • bi-skew Lie derivation
  • bi-skew Lie-type derivation
  • von Neumann algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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