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.
Giambruno A., La Mattina D. (2020). Codimensions of star-algebras and low exponential growth. ISRAEL JOURNAL OF MATHEMATICS, 239(1), 1-20 [10.1007/s11856-020-2023-y].
Codimensions of star-algebras and low exponential growth
Giambruno A.;La Mattina D.
2020-01-01
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.File | Dimensione | Formato | |
---|---|---|---|
Giambruno-LaMattina2020_Article_CodimensionsOfStar-algebrasAnd.pdf
Solo gestori archvio
Descrizione: articolo principale
Tipologia:
Versione Editoriale
Dimensione
260.37 kB
Formato
Adobe PDF
|
260.37 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
GiambrunoLaMattina_IJM_rev.pdf
accesso aperto
Tipologia:
Post-print
Dimensione
326.04 kB
Formato
Adobe PDF
|
326.04 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.