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Type: Artigo
Title: A characterization of superalgebras with pseudoinvolution of exponent 2
Author: Ioppolo, Antonio
Abstract: Let A be a superalgebra endowed with a pseudoinvolution ∗ over an algebraically closed field of characteristic zero. If A satisfies an ordinary non-trivial identity, then its graded ∗-codimension sequence c∗n(A), n = 1,2,…, is exponentially bounded (Ioppolo and Martino (Linear Multilinear Algebra 66(11), 2286–2304 2018). In this paper we capture this exponential growth giving a positive answer to the Amitsur’s conjecture for this kind of algebras. More precisely, we shall see that the limn→∞c∗n(A)−−−−−√n exists and it is an integer, denoted exp∗(A) and called graded ∗-exponent of A. Moreover, we shall characterize superalgebras with pseudoinvolution according to their graded ∗-exponent
Subject: Lie, Superálgebras de
Country: Países Baixos
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s10468-020-09996-4
Date Issue: 2020
Appears in Collections:IMECC - Artigos e Outros Documentos

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