On existence of PI-exponent of algebras with involutionRepovš, Dušan (Avtor) Zaicev, Mikhail (Avtor) polynomial identitynonassociative algebrainvolutionexponential growthexponentially bounded *-codimensionfractional *-PI-exponentAmitsur's conjecturenumerical invariantWe study polynomial identities of algebras with involution of nonassociative algebras over a field of characteristic zero. We prove that the growth of the sequence of *-codimensions of a finite-dimensional algebra is exponentially bounded. We construct a series of finite-dimensional algebras with fractional -PI-exponent. We also construct a family of infinite-dimensional algebras $C_\alpha$ such that $\exp^\ast (C_\alpha)$ does not exist.20232022-10-20 13:54:05Članek v reviji142109UDK: 512.554.3ISSN pri članku: 0021-8693DOI: 10.1016/j.jalgebra.2022.09.013COBISS_ID: 126194179sl