Algebras with involution with linear codimension growth
- Autori: DLAMATTINA; MISSO P
- Anno di pubblicazione: 2006
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: *-polynomial identity, T*-ideal, *-codimensions.
- OA Link: http://hdl.handle.net/10447/22835
Abstract
We study the ∗-varieties of associative algebras with involution over a field of characteristic zero which are generated by a finite-dimensional algebra. In this setting we give a list of algebras classifying all such ∗-varieties whose sequence of ∗-codimensions is linearly bounded. Moreover, we exhibit a finite list of algebras to be excluded from the ∗-varieties with such property. As a consequence, we find all possible linearly bounded ∗-codimension sequences.