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DANIELA LA MATTINA

Algebras with involution with linear codimension growth

  • Authors: DLAMATTINA; MISSO P
  • Publication year: 2006
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: *-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.