Classifying \(G\)-graded algebras of exponent two
type: Item
instance of: scholarly article
title: Classifying \(G\)-graded algebras of exponent two
zbMATH Open document ID: 1447.16045
author: Antonio Ioppolo
author: Fabrizio Martino
published in: Israel Journal of Mathematics
publication date: 2019-02-07T00:00:00Z
review text: Let \(G\) be a finite abelian group, and let \(A\) be a \(G\)-graded algebra over an algebraically closed field of characteristic zero. Let \(\mathcal{V}\) be the \(G\)-variety generated by \(A\). The author proves that \(\mathcal{V}\) has \(G\)-exponent greater than 2 if and only if it contains one of the graded algebras given in an explicit list, and that \(\mathcal{V}\) has \(G\)-exponent 2 if and only if it does not contain any of the graded algebras in the previous list and it contains at least one graded algebra in a second explicit list.
reviewed by: Sorin Dascalescu
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16R10
zbMATH DE Number: 7015407
zbMATH Keywords: group graded algebra
zbMATH Keywords: variety of algebras
zbMATH Keywords: \(G\)-exponent
MaRDI profile type: Publication
full work available at URL: s11856-018-1804-z
OpenAlex ID: W2904030108
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Wikidata QID: Q128812024
DOI: 10.1007/S11856-018-1804-Z
description: scientific article; zbMATH DE number 7015407