Free commutative two-step-associative algebras
Ismailov N. Shestakov I. Zhang Z.
2024Taylor and Francis Ltd.
Communications in Algebra
2024#52Issue 124992 - 5004 pp.
We construct linear bases for free commutative two-step-associative algebras and study their automorphisms. It turns out that every automorphism of a polynomial algebra without unit can be lifted to an automorphism of a free commutative two-step-associative algebra. Moreover, for any (Formula presented.), a wild automorphism is constructed for the n-generated free commutative two-step-associative algebra which is not stably tame and cannot be lifted to an automorphism of the n-generated free commutative nonassociative algebra.
Automorphism , commutative two-step-associative algebra , Jacobian matrix
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Astana IT University, Astana, Kazakhstan
Instituto de Matemática e Estatística, Universidade de São Paulo, Brazil
Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
School of Mathematical Sciences, South China Normal University, Guangzhou, China
Astana IT University
Instituto de Matemática e Estatística
Sobolev Institute of Mathematics
School of Mathematical Sciences
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