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 (7)

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