0000000001118418

AUTHOR

S. Mauceri

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Polynomial growth and identities of superalgebras and star-algebras

2009

Abstract We study associative algebras with 1 endowed with an automorphism or antiautomorphism φ of order 2, i.e., superalgebras and algebras with involution. For any fixed k ≥ 1 , we construct associative φ -algebras whose φ -codimension sequence is given asymptotically by a polynomial of degree k whose leading coefficient is the largest or smallest possible.

Discrete mathematicsInvolution (mathematics)Settore MAT/02 - AlgebraPure mathematicsAlgebra and Number TheoryCodimensionAutomorphismAssociative property\varphi$-identity $T^\varphi$-ideal $\varphi$-codimensions growthMathematicsJournal of Pure and Applied Algebra
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