We study associative algebras with 1 endowed with an automorphism or antiautomor- phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1, we construct associative '-algebras whose '-codimension sequence is given asymptoti- cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi- ble.

La Mattina, D., Mauceri, S., Misso, P. (2009). Polynomial growth and identities of superalgebras and star-algebras. JOURNAL OF PURE AND APPLIED ALGEBRA, 213(213), 2087-2094 [10.1016/j.jpaa.2009.03.003].

Polynomial growth and identities of superalgebras and star-algebras

LA MATTINA, Daniela;MAUCERI, Silvana;MISSO, Paola
2009-01-01

Abstract

We study associative algebras with 1 endowed with an automorphism or antiautomor- phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1, we construct associative '-algebras whose '-codimension sequence is given asymptoti- cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi- ble.
2009
Settore MAT/02 - Algebra
La Mattina, D., Mauceri, S., Misso, P. (2009). Polynomial growth and identities of superalgebras and star-algebras. JOURNAL OF PURE AND APPLIED ALGEBRA, 213(213), 2087-2094 [10.1016/j.jpaa.2009.03.003].
File in questo prodotto:
File Dimensione Formato  
article.PDF

Solo gestori archvio

Dimensione 479.75 kB
Formato Adobe PDF
479.75 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: https://hdl.handle.net/10447/40093
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 17
  • ???jsp.display-item.citation.isi??? 16
social impact