On existence of PI-exponent of algebras with involution

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On existence of PI-exponent of algebras with involution

Repovš, Dušan, 1954- ; Zaicev, Mikhail, 1955-

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.

Source: Journal of algebra. - ISSN 0021-8693 (Vol. 614, Jan. 2023, str. 5-19)

Type of material - article, component part ; adult, serious

Publish date - 2023

Language - english

COBISS.SI-ID - 126194179

Link(s):
https://www.sciencedirect.com/science/article/pii/S0021869322004616
Repository of the University of Ljubljana – RUL
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Author
Repovš, Dušan, 1954- | Zaicev, Mikhail, 1955-

Author	Repovš, Dušan, 1954- ; Zaicev, Mikhail, 1955-
Title	On existence of PI-exponent of algebras with involution
Publication date	2022-10-03
COBISS.SI-ID	126194179
Publication version in repository	Publisher's version
Publication licence	Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Embargo	Immediate publication for public

Project(s) from which the publication was funded

Title	Project ID	Funder
Topologija in njena uporaba	P1-0292-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Algebrajski odtisi geometrijskih značilnosti v homologiji	N1-0114-2019	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Forsing, fuzija in kombinatorika odprtih pokritij	N1-0083-2018	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

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Link
https://www.sciencedirect.com/science/article/pii/S0021869322004616
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=142109

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Cost type	Total cost	Payments
APC – Article Processing Charge	2285.00 €

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source: Journal of algebra. - ISSN 0021-8693 (Vol. 614, Jan. 2023, str. 5-19)

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Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Repovš, Dušan, 1954-	07083
Zaicev, Mikhail, 1955-

Source: Personal bibliographies and: SICRIS

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