The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory

Detalhes bibliográficos
Autor(a) principal: Caldeira, Cristina
Data de Publicação: 2000
Outros Autores: Silva, J. A. Dias da
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4654
https://doi.org/10.1016/S0024-3795(00)00125-7
Resumo: Let G be an abelian group. Let A and B be finite non-empty subsets of G. By A+B we denote the set of all elements a+b with a[set membership, variant]A and b[set membership, variant]B. For c[set membership, variant]A+B, [nu]c(A,B) is the cardinality of the set of pairs (a,b) such that a+b=c. We call [nu]c(A,B) the multiplicity of c (in A+B).
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spelling The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theoryAdditive number theoryDerivationsInvariant polynomialsLet G be an abelian group. Let A and B be finite non-empty subsets of G. By A+B we denote the set of all elements a+b with a[set membership, variant]A and b[set membership, variant]B. For c[set membership, variant]A+B, [nu]c(A,B) is the cardinality of the set of pairs (a,b) such that a+b=c. We call [nu]c(A,B) the multiplicity of c (in A+B).http://www.sciencedirect.com/science/article/B6V0R-40T9J5P-7/1/d03e27091b03d2146bf02cd58e5aeae42000info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4654http://hdl.handle.net/10316/4654https://doi.org/10.1016/S0024-3795(00)00125-7engLinear Algebra and its Applications. 315:1-3 (2000) 125-138Caldeira, CristinaSilva, J. A. Dias dainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-11-06T16:59:32Zoai:estudogeral.uc.pt:10316/4654Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:46.269402Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
title The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
spellingShingle The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
Caldeira, Cristina
Additive number theory
Derivations
Invariant polynomials
title_short The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
title_full The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
title_fullStr The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
title_full_unstemmed The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
title_sort The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
author Caldeira, Cristina
author_facet Caldeira, Cristina
Silva, J. A. Dias da
author_role author
author2 Silva, J. A. Dias da
author2_role author
dc.contributor.author.fl_str_mv Caldeira, Cristina
Silva, J. A. Dias da
dc.subject.por.fl_str_mv Additive number theory
Derivations
Invariant polynomials
topic Additive number theory
Derivations
Invariant polynomials
description Let G be an abelian group. Let A and B be finite non-empty subsets of G. By A+B we denote the set of all elements a+b with a[set membership, variant]A and b[set membership, variant]B. For c[set membership, variant]A+B, [nu]c(A,B) is the cardinality of the set of pairs (a,b) such that a+b=c. We call [nu]c(A,B) the multiplicity of c (in A+B).
publishDate 2000
dc.date.none.fl_str_mv 2000
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/4654
http://hdl.handle.net/10316/4654
https://doi.org/10.1016/S0024-3795(00)00125-7
url http://hdl.handle.net/10316/4654
https://doi.org/10.1016/S0024-3795(00)00125-7
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Linear Algebra and its Applications. 315:1-3 (2000) 125-138
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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