Polynomial growth and identities of superalgebras and star-algebras
- Authors: La Mattina, D; Mauceri, S; Misso, P
- Publication year: 2009
- Type: Articolo in rivista (Articolo in rivista)
- Key words: \varphi$-identity, $T^\varphi$-ideal, $\varphi$-codimensions, growth
- OA Link: http://hdl.handle.net/10447/40093
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.