Alternative algebras admitting derivations with invertible values and invertible derivations

Autor(es)

Kaygorodov, I. B. ^{[1, 2]} ; Popov, Yu. S. ^{[3, 2]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508 Sao Paulo - Brazil

^[2] Sobolev Math Inst SB RAS, Novosibirsk - Russia

^[3] Novosibirsk State Univ, Novosibirsk - Russia

• Tipo de documento: Artigo Científico
• Fonte: IZVESTIYA MATHEMATICS; v. 78, n. 5, p. 922-936, 2014.
• Citações Web of Science: 7

Resumo

We prove an analogue of the Bergen-Herstein-Lanski theorem for alternative algebras: describe all alternative algebras that admit derivations with invertible values. We also prove an analogue of Moens' theorem for alternative algebras (a finite-dimensional alternative algebra over a field of characteristic zero is nilpotent if and only if it admits an invertible Leibniz derivation). (AU)

• Processo FAPESP: 11/51132-9 - General Poisson álgebras and generalized derivarions
• Beneficiário: Ivan Kaygorodov
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado