We study the ∗-varieties of associative algebras with involution over a ﬁeld of characteristic zero whichare 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 ofalgebras to be excluded from the ∗-varieties with such property. As a consequence, we ﬁnd all possiblelinearly bounded ∗-codimension sequences.
|Number of pages||22|
|Journal||Journal of Algebra|
|Publication status||Published - 2006|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory