Automorphisms of categories of free algebras with unit for classical varieties of non-associative algebras

E. Aladova

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The goal of this paper is to describe the group of strongly stable automorphisms for categories of free finitely generated non-associative algebras with unit for classical varieties of non-associative algebras, in particular for the varieties of commutative, Jordan, alternative and power associative algebras. The motivation of this research is tightly connected with some problems in Universal Algebraic Geometry.

Original languageEnglish
JournalCommunications in Algebra
DOIs
StateAccepted/In press - 2024
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2024 Taylor & Francis Group, LLC.

Keywords

  • Automorphisms of the category of free algebras
  • method of verbal operations
  • subvarieties of non-associative linear algebras with unit
  • universal algebraic geometry
  • variety of non-associative linear algebras with unit

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