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

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.
Settore MAT/02 - Algebra
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].
File in questo prodotto:
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

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/453692
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact