Abstract
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.
Lingua originale | English |
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pagine (da-a) | 270-291 |
Numero di pagine | 22 |
Rivista | Journal of Algebra |
Volume | 305 |
Stato di pubblicazione | Published - 2006 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory