Normal subdigroups and the isomorphismtheorems for digroups
ABSTRACT: We discuss the notion of normality of a sub-object in the category of digroups. This allows us to define quotient digroups, and then establish the corresponding analogues of the classical Isomorphism Theorems.
- Autores:
-
Ongay Larios, Fausto Antonio
Velásquez Ossa, Raúl Eduardo
Wills Toro, Luis Alberto
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2016
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/22162
- Acceso en línea:
- http://hdl.handle.net/10495/22162
http://admjournal.luguniv.edu.ua/index.php/adm/article/view/191
- Palabra clave:
- Digroups
Isomorphism Theorems
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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| dc.title.spa.fl_str_mv |
Normal subdigroups and the isomorphismtheorems for digroups |
| title |
Normal subdigroups and the isomorphismtheorems for digroups |
| spellingShingle |
Normal subdigroups and the isomorphismtheorems for digroups Digroups Isomorphism Theorems |
| title_short |
Normal subdigroups and the isomorphismtheorems for digroups |
| title_full |
Normal subdigroups and the isomorphismtheorems for digroups |
| title_fullStr |
Normal subdigroups and the isomorphismtheorems for digroups |
| title_full_unstemmed |
Normal subdigroups and the isomorphismtheorems for digroups |
| title_sort |
Normal subdigroups and the isomorphismtheorems for digroups |
| dc.creator.fl_str_mv |
Ongay Larios, Fausto Antonio Velásquez Ossa, Raúl Eduardo Wills Toro, Luis Alberto |
| dc.contributor.author.none.fl_str_mv |
Ongay Larios, Fausto Antonio Velásquez Ossa, Raúl Eduardo Wills Toro, Luis Alberto |
| dc.subject.proposal.spa.fl_str_mv |
Digroups Isomorphism Theorems |
| topic |
Digroups Isomorphism Theorems |
| description |
ABSTRACT: We discuss the notion of normality of a sub-object in the category of digroups. This allows us to define quotient digroups, and then establish the corresponding analogues of the classical Isomorphism Theorems. |
| publishDate |
2016 |
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2016 |
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2021-09-04T00:14:27Z |
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2021-09-04T00:14:27Z |
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http://hdl.handle.net/10495/22162 |
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2415-721X |
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http://admjournal.luguniv.edu.ua/index.php/adm/article/view/191 |
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1726-3255 2415-721X |
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http://hdl.handle.net/10495/22162 http://admjournal.luguniv.edu.ua/index.php/adm/article/view/191 |
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eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Algebra Discret. Math. |
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Lugansk National Taras Shevchenko University |
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Álgebra U de A |
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Luhansk, Ucrania |
| institution |
Universidad de Antioquia |
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Ongay Larios, Fausto AntonioVelásquez Ossa, Raúl EduardoWills Toro, Luis Alberto2021-09-04T00:14:27Z2021-09-04T00:14:27Z20161726-3255http://hdl.handle.net/10495/221622415-721Xhttp://admjournal.luguniv.edu.ua/index.php/adm/article/view/191ABSTRACT: We discuss the notion of normality of a sub-object in the category of digroups. This allows us to define quotient digroups, and then establish the corresponding analogues of the classical Isomorphism Theorems.COL008689622application/pdfengLugansk National Taras Shevchenko UniversityÁlgebra U de ALuhansk, Ucraniainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-sa/4.0/Normal subdigroups and the isomorphismtheorems for digroupsDigroupsIsomorphism TheoremsAlgebra Discret. Math.Algebra and Discrete Mathematics262283222ORIGINALVelásquezRaúl_2016_SubdigroupsIsomorphismTheorems.pdfVelásquezRaúl_2016_SubdigroupsIsomorphismTheorems.pdfArtículo de investigaciónapplication/pdf403540https://bibliotecadigital.udea.edu.co/bitstream/10495/22162/1/Vel%c3%a1squezRa%c3%bal_2016_SubdigroupsIsomorphismTheorems.pdf80f510e9a2fc341fb6af6f81059b7027MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstream/10495/22162/2/license_rdfe2060682c9c70d4d30c83c51448f4eedMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/22162/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5310495/22162oai:bibliotecadigital.udea.edu.co:10495/221622023-04-11 16:03:42.42Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |