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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.)

Right alternative bimodules over Cayley algebra and coordinatization theorem

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Author(s):
Pchelintsev, V, S. ; Shashkov, V, O. ; Shestakov, I. P. [1, 2]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
[2] Sobolev Inst Math, Novosibirsk - Russia
Total Affiliations: 2
Document type: Journal article
Source: Journal of Algebra; v. 572, p. 111-128, APR 15 2021.
Web of Science Citations: 0
Abstract

It is proved that every unital right alternative bimodule over a Cayley algebra (over an algebraically closed field of characteristic not 2) is alternative. Using this result, a coordinatization theorem is proved for unital right alternative algebras containing a Cayley subalgebra with the same unit. In particular, any such an algebra is alternative. (C) 2020 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 17/04846-2 - Simple right alternative superalgebras with some conditions on even parts
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants