Right Alternative Unital Bimodules over the Matrix Algebras of Order $ \geq 3 $

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2022 English Publisher:Pleiades Publishing LtdJournal:Siberian Mathematical Journal, volume 63, pages 743-757 (issn: 0037-4466, eissn: 1573-9260,

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Authors: L. I. Murakami; S. V. Pchelintsev; O. V. Shashkov;

doi: 10.1134/s0037446622040152

Right Alternative Unital Bimodules over the Matrix Algebras of Order $ \geq 3 $

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Abstract

The authors study the unital right alternative bimodules over the matrix algebras $M_n(F)$ of order $n \geq 3$. They prove that each of these bimodules is the direct sum of an associative bimodule and a Graves bimodule. The authors also completely describe the structure of twisted Graves bimodules.

Related Organizations

Universidade de São Paulo
Brazil
Financial University
Russian Federation

Keywords

Jordan bimodule, Right alternative rings, Jordan algebra, right alternative algebra, right alternative bimodule, Structure theory for Jordan algebras

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