Automorphisms of Categories of Free Modules, Free Semimodules, and Free Lie Modules∗
Automorphisms of Categories of Free Modules, Free Semimodules, and Free Lie Modules∗
In algebraic geometry over a variety of universal algebras Θ, the group Aut(Θ0) of automorphisms of the category Θ0 of finitely generated free algebras of Θ is of great importance. In this article, semi-inner automorphisms are defined for the categories of free (semi)modules and free Lie modules; then, under natural …