The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
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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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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133898378051584 |