Abstract. It is proved that every endomorphism preserving the au-tomorphic orbit of a nontrivial element of the rank two polynomial algebra over the complex number field is an automorphism
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
AbstractWe consider finitely generated free non-associative algebras, free commutative non-associati...
AbstractIt is proved that every endomorphism preserving the automorphic orbit of a non-trivial eleme...
AbstractIt is proved that every endomorphism preserving the automorphic orbit of a non-trivial eleme...
It is proved that every endomorphism preserving the automorphic orbit of a non-trivial element of th...
Let F be an algebra which is free in a class of algebras. In this paper we consider the following pr...
We discuss how to recognize whether an endomorphism of a polynomial algebra is an automorphism throu...
Let A2 be a free associative or polynomial algebra of rank two over a field K of characteristic zero...
AbstractLet A2 be a free associative or polynomial algebra of rank two over a field K of characteris...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
AbstractWe consider finitely generated free non-associative algebras, free commutative non-associati...
AbstractIt is proved that every endomorphism preserving the automorphic orbit of a non-trivial eleme...
AbstractIt is proved that every endomorphism preserving the automorphic orbit of a non-trivial eleme...
It is proved that every endomorphism preserving the automorphic orbit of a non-trivial element of th...
Let F be an algebra which is free in a class of algebras. In this paper we consider the following pr...
We discuss how to recognize whether an endomorphism of a polynomial algebra is an automorphism throu...
Let A2 be a free associative or polynomial algebra of rank two over a field K of characteristic zero...
AbstractLet A2 be a free associative or polynomial algebra of rank two over a field K of characteris...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
An endomorphism $\varphi$ of a polynomial ring is called preserving outer rank if $\varphi$ sends ea...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
AbstractWe consider finitely generated free non-associative algebras, free commutative non-associati...