Construction of Bh[g] sets in product of groups
A subset A of an abelian group G is a Bh[g] set on G if the elements of G can be written in at most g ways as sum of h elements of A. Given any field F, this work presents constructions of Bh[g] sets on the abelian groups (Fh, +) (Zd, +), and (Zm1 × … × Zmd, +), for d ≥ 2, h ≥ 2, and g ≥ 1....
- Autores:
-
Ruíz, Diego
Trujillo, Carlos
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66445
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66445
http://bdigital.unal.edu.co/67473/
- Palabra clave:
- 51 Matemáticas / Mathematics
Sidon sets
Bh[g] sets
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Ruíz, Diegobcce4415-b06b-4de7-aae0-bbb357cd4e72300Trujillo, Carlos738c6d35-1dca-4ffb-861e-170a178e3d473002019-07-03T02:08:30Z2019-07-03T02:08:30Z2016-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66445http://bdigital.unal.edu.co/67473/A subset A of an abelian group G is a Bh[g] set on G if the elements of G can be written in at most g ways as sum of h elements of A. Given any field F, this work presents constructions of Bh[g] sets on the abelian groups (Fh, +) (Zd, +), and (Zm1 × … × Zmd, +), for d ≥ 2, h ≥ 2, and g ≥ 1.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/62208Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRuíz, Diego and Trujillo, Carlos (2016) Construction of Bh[g] sets in product of groups. Revista Colombiana de Matemáticas, 50 (2). pp. 165-174. ISSN 2357-410051 Matemáticas / MathematicsSidon setsBh[g] setsConstruction of Bh[g] sets in product of groupsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL62208-316272-1-SM.pdfapplication/pdf433666https://repositorio.unal.edu.co/bitstream/unal/66445/1/62208-316272-1-SM.pdffe153b276525424f6e4f59ca2ae94e2dMD51THUMBNAIL62208-316272-1-SM.pdf.jpg62208-316272-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4932https://repositorio.unal.edu.co/bitstream/unal/66445/2/62208-316272-1-SM.pdf.jpg696a1b34606fa9d702ecf2df4f5e29b3MD52unal/66445oai:repositorio.unal.edu.co:unal/664452023-05-25 23:02:43.819Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Construction of Bh[g] sets in product of groups |
| title |
Construction of Bh[g] sets in product of groups |
| spellingShingle |
Construction of Bh[g] sets in product of groups 51 Matemáticas / Mathematics Sidon sets Bh[g] sets |
| title_short |
Construction of Bh[g] sets in product of groups |
| title_full |
Construction of Bh[g] sets in product of groups |
| title_fullStr |
Construction of Bh[g] sets in product of groups |
| title_full_unstemmed |
Construction of Bh[g] sets in product of groups |
| title_sort |
Construction of Bh[g] sets in product of groups |
| dc.creator.fl_str_mv |
Ruíz, Diego Trujillo, Carlos |
| dc.contributor.author.spa.fl_str_mv |
Ruíz, Diego Trujillo, Carlos |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics Sidon sets Bh[g] sets |
| dc.subject.proposal.spa.fl_str_mv |
Sidon sets Bh[g] sets |
| description |
A subset A of an abelian group G is a Bh[g] set on G if the elements of G can be written in at most g ways as sum of h elements of A. Given any field F, this work presents constructions of Bh[g] sets on the abelian groups (Fh, +) (Zd, +), and (Zm1 × … × Zmd, +), for d ≥ 2, h ≥ 2, and g ≥ 1. |
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2016 |
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2016-07-01 |
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2019-07-03T02:08:30Z |
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2019-07-03T02:08:30Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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ISSN: 2357-4100 |
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https://repositorio.unal.edu.co/handle/unal/66445 |
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http://bdigital.unal.edu.co/67473/ |
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ISSN: 2357-4100 |
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spa |
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spa |
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https://revistas.unal.edu.co/index.php/recolma/article/view/62208 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
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Ruíz, Diego and Trujillo, Carlos (2016) Construction of Bh[g] sets in product of groups. Revista Colombiana de Matemáticas, 50 (2). pp. 165-174. ISSN 2357-4100 |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas |
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Universidad Nacional de Colombia |
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