ALGB Seminar: Alexander A. Mikhalev, M.V.Lomonosov Moscow State University, Russia

Title: Primitive and almost primitive elements of free algebras of Schreier varieties of linear algebras

Abstract: A variety of linear algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free. A system of elements of a free algebra is primitive if there is a complement of this system with respect to a free generating set of the free algebra. An element of a free algebra of a Schrreier variety is said to be almost primitive if it is not primitive in the free algebra, but it is a primitive element of any subalgebra which contains it. We consider primitive and almost primitive elements