6533b7d9fe1ef96bd126cdcd

RESEARCH PRODUCT

Codimensions of star-algebras and low exponential growth

Daniela La MattinaAntonio Giambruno

subject

Involution (mathematics)Pure mathematicsGeneral Mathematics010102 general mathematics0102 computer and information sciences01 natural sciencesSettore MAT/02 - AlgebraExponential growth010201 computation theory & mathematicsBounded functionExponent0101 mathematicspolynomial identity involution growthMathematics

description

In this paper we prove that if A is any algebra with involution * satisfying a non-trivial polynomial identity, then its sequence of *-codimensions is eventually non-decreasing. Furthermore, by making use of the *-exponent we reconstruct the only two *-algebras, up to T*-equivalence, generating varieties of almost polynomial growth. As a third result we characterize the varieties of algebras with involution whose exponential growth is bounded by 2.

yearjournalcountryeditionlanguage
2020-08-01Israel Journal of Mathematics
https://doi.org/10.1007/s11856-020-2023-y