Strongly Stable Automorphisms of the Categories of the Finitely Generated Free Algebras of the some Varieties of Linear Algebras

2012/10/23 by A. Tsurkov, Tsurkov, A.
Mathematics · #17A01 #17A05 #17C99 #17D05 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1210.6406

openalex publication_date 2012/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider some classical varieties of linear algebras over the field which has characteristic 0. For every considered variety we take a category of the finite generated free algebras of this variety. And for every this category we calculate the quotient group of the group of the all automorphisms of this category over the subgroup of the all inner automorphisms. This quotient group measures difference between the geometric equivalence and automorphic equivalence of algebras from this variety.

Related

• Automorphic Equivalence in the Classical Varieties of Linear Algebras
• Automorphisms of the category of finitely generated free groups of the some subvariety of the variety of all groups
• On automorphisms of categories
• Automorphisms of the semigroup of endomorphisms of free algebras of homogeneous varieties
• On automorphisms of categories of universal algebras