Varieties of algebras with pseudoinvolution and polynomial growth

Fabrizio Martino, Fabrizio Martino, Antonio Ioppolo

Risultato della ricerca: Articlepeer review

5 Citazioni (Scopus)

Abstract

Let A be an associative algebra with pseudoinvolution ∗ over an algebraically closed field of characteristic zero and let cn∗(A) be its sequence of ∗-codimensions. We shall prove that such a sequence is polynomially bounded if and only if the variety generated by A does not contain five explicitly described algebras with pseudoinvolution. As a consequence, we shall classify the varieties of algebras with pseudoinvolution of almost polynomial growth, i.e. varieties of exponential growth such that any proper subvariety has polynomial growth and, along the way, we shall give also the classification of their subvarieties. Finally, we shall describe the algebras with pseudoinvolution whose ∗-codimensions are bounded by a linear function.
Lingua originaleEnglish
pagine (da-a)2286-2304
Numero di pagine19
RivistaLINEAR & MULTILINEAR ALGEBRA
Volume66
Stato di pubblicazionePublished - 2018

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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