Let (A, *) be a *-PI algebra with involution over a field of characteristic zero and let c_m (A, *) denote its m-th *-codimension. Giambruno and Zaicev, in [10], proved that, if A is finite dimensional, there exists the lim(m ->infinity) m root c_m (A,*), and it is an integer, which is called the *-exponent of A. As a consequence of the presence of this invariant, in a natural manner in [2] the definition of *-minimal algebra was introduced. Our goal in this paper is to characterize, up to *-PI equivalence, *-minimal algebras.

A characterization of *-minimal algebras with involution / Onofrio Mario Di, Vincenzo; Spinelli, Ernesto. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - STAMPA. - 186:1(2011), pp. 381-400. [10.1007/s11856-011-0144-z]

A characterization of *-minimal algebras with involution

SPINELLI, ERNESTO
2011

Abstract

Let (A, *) be a *-PI algebra with involution over a field of characteristic zero and let c_m (A, *) denote its m-th *-codimension. Giambruno and Zaicev, in [10], proved that, if A is finite dimensional, there exists the lim(m ->infinity) m root c_m (A,*), and it is an integer, which is called the *-exponent of A. As a consequence of the presence of this invariant, in a natural manner in [2] the definition of *-minimal algebra was introduced. Our goal in this paper is to characterize, up to *-PI equivalence, *-minimal algebras.
2011
01 Pubblicazione su rivista::01a Articolo in rivista
A characterization of *-minimal algebras with involution / Onofrio Mario Di, Vincenzo; Spinelli, Ernesto. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - STAMPA. - 186:1(2011), pp. 381-400. [10.1007/s11856-011-0144-z]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

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: https://hdl.handle.net/11573/442279
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 8
social impact