Search results for "∗-Codimensions"

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Algebras with involution with linear codimension growth

2006

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.

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 algebraMathematics
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