Codimensions of star-algebras and low exponential growth

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Abstract

In this paper we prove that if A is any algebra with involution * satisfying a non-trivial polynomial identity, then its sequence of *-codimensions is eventually non-decreasing. Furthermore, by making use of the *-exponent we reconstruct the only two *-algebras, up to T*-equivalence, generating varieties of almost polynomial growth. As a third result we characterize the varieties of algebras with involution whose exponential growth is bounded by 2.
Lingua originaleEnglish
pagine (da-a)1-20
Numero di pagine20
RivistaIsrael Journal of Mathematics
Volume239
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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