Identities of *-superalgebras and almost polynomial growth |
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| Authors: | Antonio Giambruno Rafael Bezerra dos Santos |
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| Institution: | 1. Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy.;2. Departamento de Matemática, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil. |
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| Abstract: | We study the growth of the codimensions of a *-superalgebra over a field of characteristic zero. We classify the ideals of identities of finite dimensional algebras whose corresponding codimensions are of almost polynomial growth. It turns out that these are the ideals of identities of two algebras with distinct involutions and gradings. Along the way, we also classify the finite dimensional simple *-superalgebras over an algebraically closed field of characteristic zero. |
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| Keywords: | polynomial identity graded involution almost polynomial growth |
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