Primitive and almost primitive elements of Schreier varieties
V. A. Artamonov, A. V. Klimakov, A. A. Mikhalev, A. V. Mikhalev
Lomonosov Moscow State University
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 Schreier 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 that contains it. This survey article is devoted to the study of primitive and almost primitive elements of Schreier varieties.
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V. A. Artamonov, A. V. Klimakov, A. A. Mikhalev, A. V. Mikhalev, “Primitive and almost primitive elements of Schreier varieties”, Fundam. Prikl. Mat., 21:2 (2016), 3–35
Citation in format AMSBIB
\by V.~A.~Artamonov, A.~V.~Klimakov, A.~A.~Mikhalev, A.~V.~Mikhalev
\paper Primitive and almost primitive elements of Schreier varieties
\jour Fundam. Prikl. Mat.
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