The group of automorphisms of the category of free associative algebras

Abstract

In this paper, the problem formulated in [8] is solved. We prove, that the group of automorphisms of the category of free associative algebras is generated by semi-inner and mirror automorphisms

References in corpus (2)

• Algebras with the same (algebraic) geometry
• Algebraic Logic, Varieties of Algebras and Algebraic Varieties

Cited by in corpus (4)

• On automorphisms of categories of free algebras of some varieties
• The group of automorphisms of semigroup End
• Problems in algebra inspired by universal algebraic geometry
• Nonstandard analysis, deformation quantization and some logical aspects of (non)commutative algebraic geometry