Dušan Repovš (Author), Mikhail Zaicev (Author)

Abstract

We 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.

Keywords

polynomial identity;nonassociative algebra;involution;exponential growth;exponentially bounded *-codimension;fractional *-PI-exponent;Amitsur's conjecture;numerical invariant;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 512.554.3
COBISS: 126194179 Link will open in a new window
ISSN: 0021-8693
Views: 150
Downloads: 56
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 5-19
Issue: ǂVol. ǂ614
Chronology: Jan. 2023
DOI: 10.1016/j.jalgebra.2022.09.013
ID: 16812125
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