In this paper we study associative unitary superalgebras with graded involution or superinvolution having polynomial growth of the codimension sequence. The first goal is to prove that, for this kind of algebras, the codimension sequence is a polynomial with rational coefficients. Then we shall construct several superalgebras with graded involution or superinvolution realizing the smallest and the largest value of the leading term of such a polynomial.

Costa, W., Ioppolo, A., dos Santos, R., Vieira, A. (2021). Unitary superalgebras with graded involution or superinvolution of polynomial growth. JOURNAL OF PURE AND APPLIED ALGEBRA, 225(9 (September 2021)) [10.1016/j.jpaa.2021.106666].

Unitary superalgebras with graded involution or superinvolution of polynomial growth

Ioppolo A.
;
2021

Abstract

In this paper we study associative unitary superalgebras with graded involution or superinvolution having polynomial growth of the codimension sequence. The first goal is to prove that, for this kind of algebras, the codimension sequence is a polynomial with rational coefficients. Then we shall construct several superalgebras with graded involution or superinvolution realizing the smallest and the largest value of the leading term of such a polynomial.
Articolo in rivista - Articolo scientifico
Codimension; Graded involution; Polynomial growth; Polynomial identity; Superinvolution;
English
7-gen-2021
2021
225
9 (September 2021)
106666
reserved
Costa, W., Ioppolo, A., dos Santos, R., Vieira, A. (2021). Unitary superalgebras with graded involution or superinvolution of polynomial growth. JOURNAL OF PURE AND APPLIED ALGEBRA, 225(9 (September 2021)) [10.1016/j.jpaa.2021.106666].
File in questo prodotto:
File Dimensione Formato  
17. CISV-2021-LAA.pdf

Solo gestori archivio

Tipologia di allegato: Submitted Version (Pre-print)
Dimensione 311 kB
Formato Adobe PDF
311 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/10281/314275
Citazioni
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 2
Social impact