An uncountable family of almost nilpotent varieties of polynomial growth

Angela Valenti, Sergey Mishchenko

Risultato della ricerca: Article

Abstract

A non-nilpotent variety of algebras is almost nilpotent if any proper subvariety is nilpotent. Let the base field be of characteristic zero. It has been shown that for associative or Lie algebras only one such variety exists. Here we present infinite families of such varieties. More precisely we shall prove the existence of. 1) a countable family of almost nilpotent varieties of at most linear growth and. 2) an uncountable family of almost nilpotent varieties of at most quadratic growth.
Lingua originaleEnglish
pagine (da-a)1758-1764
Numero di pagine7
RivistaJournal of Pure and Applied Algebra
Volume222
Stato di pubblicazionePublished - 2018

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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