6533b85ffe1ef96bd12c13d4

RESEARCH PRODUCT

Polynomial growth and identities of superalgebras and star-algebras

D. La MattinaPaola MissoS. Mauceri

subject

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

description

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.

yearjournalcountryeditionlanguage
2009-11-01Journal of Pure and Applied Algebra
https://doi.org/10.1016/j.jpaa.2009.03.003