Strongly Stable Automorphisms of the Categories of the finitely Generated Free Algebras of the varieties of all the Linear Nilpotents Algebras of degree 5.
Strongly Stable Automorphisms, Verbal Operations, Automorphic Equivalence, Geometric Equivalence.
This study has the objective the study of the strongly stable automorphisms of the category of all the finitely free algebras generated in the variety of all Nilpotent Linear Algebras of degree 5. We present a brief explanation of the method of verbal operations.
Our main interest is to compute the group A/Y for the case of variety of all Nilpotent Linear Algebras of degree 5. The study of the group A/Y is very important in the area of Universal Algebraic Geometry, because this group gives us the possible differences between geometric and automorphic equivalence of algebras.