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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Alternative algebras admitting derivations with invertible values and invertible derivations

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Author(s):
Kaygorodov, I. B. [1, 2] ; Popov, Yu. S. [3, 2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: IZVESTIYA MATHEMATICS; v. 78, n. 5, p. 922-936, 2014.
Web of Science Citations: 7
Abstract

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)

FAPESP's process: 11/51132-9 - General Poisson algebras and generalized derivarions
Grantee:Ivan Kaygorodov
Support Opportunities: Scholarships in Brazil - Post-Doctoral