Mal'tsev-admissible right alternative nil algebras of bounded index
type: Item
instance of: scholarly article
title: Mal'tsev-admissible right alternative nil algebras of bounded index
zbMATH Open document ID: 0852.17035
DOI: 10.1007/BF02106619
published in: Siberian Mathematical Journal
publication date: 1996-12-12T00:00:00Z
review text: A right alternative algebra \(A\) is called Malcev admissible if its associated commutator algebra \(A^{(-)}\) is a Malcev algebra. The author extends two well-known results for alternative algebras, that are due to Zhevlakov and Shirshov, by proving the following: Over a field of characteristic 0, a Malcev-admissible right alternative nil algebra of bounded index is both solvable and locally nilpotent.
Mathematics Subject Classification ID: 17D15
zbMATH DE Number: 917096
zbMATH Keywords: right alternative algebra
zbMATH Keywords: Malcev admissible
zbMATH Keywords: Malcev algebra
author: Sergey V. Pchelintsev
MaRDI profile type: Publication
cites work: Q3243327
cites work: Q3889234
cites work: Q5513848
cites work: Q4102021
cites work: Q3495523
cites work: Right alternative rings
full work available at URL: https://doi.org/10.1007/bf02106619
OpenAlex ID: W2091267451
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description: scientific article; zbMATH DE number 917096