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 as objective the study of the strongly stable automorphisms of the category
of all the finitely generated free algebras 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 prove the isomorphism A5=Y5 ∼= k∗hAutk. The 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.