It is proved that every endomorphism preserving the automorphic orbit of a non-trivial element of the rank two polynomial algebra over the complex number field is an automorphism. © 2007 Elsevier Inc. All rights reserved.postprin
Let F be an algebra which is free in a class of algebras. In this paper we consider the following pr...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
We study automorphisms of the free associative algebra K(x, y, z) over a field K which fix the varia...
AbstractIt is proved that every endomorphism preserving the automorphic orbit of a non-trivial eleme...
Abstract. It is proved that every endomorphism preserving the au-tomorphic orbit of a nontrivial ele...
AbstractIt is proved that every endomorphism preserving the automorphic orbit of a non-trivial eleme...
AbstractLet A2 be a free associative or polynomial algebra of rank two over a field K of characteris...
Let A2 be a free associative or polynomial algebra of rank two over a field K of characteristic zero...
AbstractLet k be a field of characteristic zero. We show that every endomorphism of k[x1,…,xn] takin...
We study z-automorphisms of the polynomial algebra K[x, y, z] and the free associative algebra K «x,...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
AbstractLet A2 be a free associative or polynomial algebra of rank two over a field K of characteris...
We study automorphisms of φ the free associative algebra K 〈x, y, z〉 over a field K such that φ(x), ...
Let K be a field of positive characteristic and K (x,y) be the free algebra of rank two over K. Base...
AbstractThe purpose of this note is to show how recent progress in non-commutative combinatorial alg...
Let F be an algebra which is free in a class of algebras. In this paper we consider the following pr...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
We study automorphisms of the free associative algebra K(x, y, z) over a field K which fix the varia...
AbstractIt is proved that every endomorphism preserving the automorphic orbit of a non-trivial eleme...
Abstract. It is proved that every endomorphism preserving the au-tomorphic orbit of a nontrivial ele...
AbstractIt is proved that every endomorphism preserving the automorphic orbit of a non-trivial eleme...
AbstractLet A2 be a free associative or polynomial algebra of rank two over a field K of characteris...
Let A2 be a free associative or polynomial algebra of rank two over a field K of characteristic zero...
AbstractLet k be a field of characteristic zero. We show that every endomorphism of k[x1,…,xn] takin...
We study z-automorphisms of the polynomial algebra K[x, y, z] and the free associative algebra K «x,...
AbstractIf k is a field, then the automorphism theorem for k[x, y] states that every k-algebra autom...
AbstractLet A2 be a free associative or polynomial algebra of rank two over a field K of characteris...
We study automorphisms of φ the free associative algebra K 〈x, y, z〉 over a field K such that φ(x), ...
Let K be a field of positive characteristic and K (x,y) be the free algebra of rank two over K. Base...
AbstractThe purpose of this note is to show how recent progress in non-commutative combinatorial alg...
Let F be an algebra which is free in a class of algebras. In this paper we consider the following pr...
We consider finitely generated free non-associative algebras, free commutative non-associative algeb...
We study automorphisms of the free associative algebra K(x, y, z) over a field K which fix the varia...