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Type: Artigo
Title: Classifying G-graded algebras of exponent two
Author: Ioppolo, Antonio
Martino, Fabrizio
Abstract: Let F be a field of characteristic zero and let V be a variety of associative F-algebras graded by a finite abelian group G. If V satisfies an ordinary non-trivial identity, then the sequence cnG(V) of G-codimensions is exponentially bounded. In [2, 3, 8], the authors captured such exponential growth by proving that the limit exists and it is an integer, called the G-exponent of V.The purpose of this paper is to characterize the varieties of G-graded algebras of exponent greater than 2. As a consequence, we find a characterization for the varieties with exponent equal to 2
Subject: Álgebras graduadas
Country: Israel
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s11856-018-1804-z
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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