Automorphisms of the category of free non-associative algebras with unit

Elena Aladova, Jéssica Stefanny Sousa De Lima Oliveira

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The goal of this paper is to describe the group of strongly stable automorphisms of the category of free finitely generated non-associative algebras with unit. The motivation of this research comes from universal algebraic geometry. From this perspective, our main result tells us what are the non-associative algebras with unit geometrically similar to a given one. The characterization of strongly stable automorphisms is provided by the method of verbal operations. We also specify some facts related to behavior of nullary operations on arbitrary algebraic structures.

Original languageEnglish
Article number2550226
JournalJournal of Algebra and its Applications
DOIs
StateAccepted/In press - 2024
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2025 World Scientific Publishing Company.

Keywords

  • Variety of non-associative linear algebras
  • automorphisms of the category of free algebras
  • method of verbal operations
  • universal algebraic geometry

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