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Steady growth of length function and Malcev algebras

  • Lomonosov Moscow State University
  • Moscow Center for Fundamental and Applied Mathematics
  • University of Manchester

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We introduce and investigate the algebras of steadily growing length, that is the class of algebras, where the length is bounded by a linear function of the dimension. In particular we show that Malcev algebras belong to this class and establish the exact upper bound for its length.

Original languageEnglish
Article number2450233
JournalJournal of Algebra and its Applications
Volume23
Issue number13
DOIs
StatePublished - 1 Nov 2024

Bibliographical note

Publisher Copyright:
© The Author(s)

Keywords

  • Length function
  • Malcev algebras
  • growth
  • nonassociative algebra

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