Jordan algebras admitting derivations with invertible values

Autor(es)

Kaygorodov, Ivan ^[1] ; Lopatin, Artem ^{[2, 3]} ; Popov, Yury ^{[4, 2]}

Afiliação do(s) autor(es)

^[1] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil

^[2] Univ Estadual Campinas, IMECC, Campinas, SP - Brazil

^[3] Sobolev Inst Math, Omsk Branch, Omsk - Russia

^[4] Novosibirsk State Univ, Novosibirsk - Russia

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 46, n. 1, p. 69-81, 2018.
• Citações Web of Science: 1

Resumo

The notion of a derivation with invertible values as a derivation of ring with unity that only takes multiplicatively invertible or zero values appeared in a paper of Bergen, Herstein and Lanski, in which they determined the structure of associative rings that admit derivations with invertible values. Later, the results of this paper were generalized in many cases, for example, for generalized derivations, associative superalgebras, alternative algebras and many others. The present work is dedicated to the description of all Jordan algebras admitting derivations with invertible values. (AU)

• Processo FAPESP: 14/24519-8 - Derivações gerais de álgebras e superálgebras não associativas
• Beneficiário: Ivan Kaygorodov
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/16445-0 - Representações das (super)álgebras do tipo de Jordan
• Beneficiário: Yury Popov
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 16/00541-0 - Propriedades das álgebras de invariantes
• Beneficiário: Artem Lopatin
• Modalidade de apoio: Auxílio à Pesquisa - Regular