Scale for codimension growth of Poisson PI-algebras

Petrogradsky, Victor

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dc.contributor.author	Petrogradsky, Victor	-
dc.date.accessioned	2025-09-24T10:55:52Z	-
dc.date.available	2025-09-24T10:55:52Z	-
dc.date.issued	2022-11-28	-
dc.identifier.citation	PETROGRADSKY, Victor. Scale for codimension growth of Poisson PI-algebras. Israel Journal of Mathematics, Jerusalem, v. 254, p. 201-227, 2023. DOI: https://doi.org/10.1007/s11856-022-2394-3. Disponível em: https://link.springer.com/article/10.1007/s11856-022-2394-3#article-info. Acesso em: 03 jun. 2025.	pt_BR
dc.identifier.uri	http://repositorio.unb.br/handle/10482/52495	-
dc.language.iso	eng	pt_BR
dc.publisher	Springer Nature	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Scale for codimension growth of Poisson PI-algebras	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Lie, Álgebra de	pt_BR
dc.subject.keyword	Álgebra associativa	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s11856-022-2394-3	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s11856-022-2394-3#article-info	pt_BR
dc.description.abstract1	A. Regev proved that the codimension growth of an associative PI-algebra is at most exponential. The author established a scale for the codimension growth of Lie PI-algebras, which includes a series of functions between exponential and factorial functions. We prove that the same scale stratifies the ordinary codimension growth of Poisson PI-algebras satisfying Lie identical relations. As a byproduct, we obtain a new bound on the codimension growth of Lie PI-algebras in terms of complexity functions. We also study very fast codimension growth of some Poisson algebras without Lie identities. We essentially use techniques of exponential generating functions and growth of respective fast growing entire functions.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-0182-5149	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
dc.description.ppg	Programa de Pós-Graduação em Matemática	pt_BR
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