Steady growth of length function and Malcev algebras

Alexander Guterman, Dmitry Kudryavtsev

Research output: Contribution to journalArticlepeer-review


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
StateAccepted/In press - 2023

Bibliographical note

Publisher Copyright:
© 2024 World Scientific Publishing Company.


  • Length function
  • Malcev algebras
  • growth
  • nonassociative algebra


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