The bar-radical of baric algebras
type: Item
instance of: scholarly article
title: The bar-radical of baric algebras
zbMATH Open document ID: 0853.17026
DOI: 10.1007/BF01268924
author: H. jun. Guzzo
published in: Archiv der Mathematik
publication date: 1996-11-22T00:00:00Z
review text: The bar-radical for any baric algebra and for simple and semisimple baric algebras is defined. It is proved that the bar-radical of the join of finitely many baric algebras having an idempotent element of weight 1 is the sum of the bar-radicals of these summand algebras. It is also proved that if an Artinian baric algebra has an idempotent element of weight 1 and its bar-radical is zero, then the algebra is a semisimple baric algebra. Some examples are given.
Mathematics Subject Classification ID: 17D92
zbMATH DE Number: 938581
zbMATH Keywords: bar-radical
zbMATH Keywords: baric algebra
zbMATH Keywords: idempotent
zbMATH Keywords: Artinian baric algebra
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01268924
OpenAlex ID: W1997083919
description: scientific article; zbMATH DE number 938581