Classifying indecomposable R.A. loops
type: Item
instance of: scholarly article
title: Classifying indecomposable R.A. loops
zbMATH Open document ID: 0837.20082
author: Guilherme Leal
author: C. Polcino Milies
author: Eric Jespers
published in: Journal of Algebra
publication date: 1996-01-07T00:00:00Z
review text: E. D. Goodaire (1983) defined R.A. loops (right alternative loops) as loops whose loop algebra over any ring with no 2-torsion is alternative. The authors in this paper describe all finite indecomposable R.A. loops, up to isomorphism and show how to construct all indecomposable R.A. loops. As an application, they list all such loops of order up to 64.
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 17D15
zbMATH DE Number: 815926
zbMATH Keywords: right alternative loops
zbMATH Keywords: loop algebras
zbMATH Keywords: finite indecomposable R.A. loops
reviewed by: Elena Broží ková
MaRDI profile type: Publication
full work available at URL: jabr.1995.1260
OpenAlex ID: W2046062169
DOI: 10.1006/JABR.1995.1260
description: scientific article; zbMATH DE number 815926