Description of local automorphisms on solvable Leibniz and filiform, null-filiform associative and Zinbiel algebras

This dissertation is devoted to the study of local and 2-local automorphisms of solvable Leibniz algebras, as well as null-filiform and filiform associative and Zinbiel algebras. Automorphisms of certain classes with various types of nilradicals are described, and their structural properties are analyzed. Conditions under which local and 2-local automorphisms coincide with automorphisms are established. In some cases, it is shown that every local and 2-local automorphism is an automorphism, while in other cases examples of mappings that are not automorphisms are provided.