Bimodules over semisimple algebras in some classes of right alternative algebras
On the unit group of Z-orders in finite dimensional algebras
Full text | |
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 |