6533b7d7fe1ef96bd1267b3b
RESEARCH PRODUCT
Algebras with involution with linear codimension growth
Paola MissoD. La Mattinasubject
Discrete mathematicsPure mathematicsJordan algebraAlgebra and Number TheoryNon-associative algebraSubalgebraQuadratic algebra∗-CodimensionsSettore MAT/02 - AlgebraInterior algebra*-polynomial identity T*-ideal *-codimensions.∗-Polynomial identityT∗-idealDivision algebraAlgebra representationNest algebraMathematicsdescription
AbstractWe 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-11-01 |