Varieties of Algebras with Superinvolution of Almost Polynomial Growth

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29 Citazioni (Scopus)


Let A be an associative algebra with superinvolution ∗ over a field of characteristic zero and let c_n∗(A) be its sequence of corresponding ∗-codimensions. In case A is finite dimensional, we prove that such sequence is polynomially bounded if and only if the variety generated by A does not contain three explicitly described algebras with superinvolution. As a consequence we find out that no intermediate growth of the ∗-codimensions between polynomial and exponential is allowed.
Lingua originaleEnglish
pagine (da-a)599-611
Numero di pagine13
RivistaAlgebras and Representation Theory
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

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