Automorphisms of finitely generated relatively free bicommutative algebras

Autor(es)

Shestakov, Ivan ^{[1, 2]} ; Zhang, Zerui ^{[1, 3]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

^[2] Sobolev Inst Math, Novosibirsk - Russia

^[3] South China Normal Univ, Sch Math Sci, Guangzhou 510631 - Peoples R China

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 225, n. 8 AUG 2021.
• Citações Web of Science: 0

Resumo

Automorphisms of free bicommutative algebras over an arbitrary field are studied. Wild automorphisms are constructed in two-generated and three-generated free bicommutative algebras. Moreover, for any n >= 2, a wild automorphism is constructed in the n-generated free associative bicommutative algebra which is not stably tame and can not be lifted to an automorphism of the n-generated free bicommutative algebra. (C) 2020 Published by Elsevier B.V. (AU)

• Processo FAPESP: 19/02095-5 - Pesquisa em polinômios de Hecke-Grothendieck, álgebras de Novikov metabelianas, álgebras de Poisson genéricas e álgebras de Novikov-Poisson
• Beneficiário: Zerui Zhang
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático