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:
- Isomorfismo (matemáticas)
Isomorphisms (Mathematics)
Subgrupos
Teoremas
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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Normal subdigroups and the isomorphismtheorems for digroups |
| title |
Normal subdigroups and the isomorphismtheorems for digroups |
| spellingShingle |
Normal subdigroups and the isomorphismtheorems for digroups Isomorfismo (matemáticas) Isomorphisms (Mathematics) Subgrupos Teoremas |
| 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.contributor.researchgroup.spa.fl_str_mv |
Álgebra U de A |
| dc.subject.lemb.none.fl_str_mv |
Isomorfismo (matemáticas) Isomorphisms (Mathematics) |
| topic |
Isomorfismo (matemáticas) Isomorphisms (Mathematics) Subgrupos Teoremas |
| dc.subject.proposal.spa.fl_str_mv |
Subgrupos Teoremas |
| 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. |
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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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Artículo de investigación |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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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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http://hdl.handle.net/10495/22162 http://admjournal.luguniv.edu.ua/index.php/adm/article/view/191 |
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eng |
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eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Algebra Discret. Math. |
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283 |
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2 |
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262 |
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22 |
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Algebra and Discrete Mathematics |
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http://creativecommons.org/licenses/by-nc-sa/2.5/co/ |
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Luhansk, Ucrania |
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Ongay Larios, Fausto AntonioVelásquez Ossa, Raúl EduardoWills Toro, Luis AlbertoÁlgebra U de A2021-09-04T00:14:27Z2021-09-04T00:14:27Z20161726-3255http://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 UniversityLuhansk, Ucraniahttp://creativecommons.org/licenses/by-nc-sa/2.5/co/https://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Normal subdigroups and the isomorphismtheorems for digroupsArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionIsomorfismo (matemáticas)Isomorphisms (Mathematics)SubgruposTeoremasAlgebra Discret. Math.283226222Algebra and Discrete MathematicsPublicationORIGINALVelásquezRaúl_2016_SubdigroupsIsomorphismTheorems.pdfVelásquezRaúl_2016_SubdigroupsIsomorphismTheorems.pdfArtículo de investigaciónapplication/pdf403540https://bibliotecadigital.udea.edu.co/bitstreams/f4d438f9-a9a4-4e5e-852b-fd723a037f18/download80f510e9a2fc341fb6af6f81059b7027MD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstreams/3ef1437c-01b6-463f-9957-5af4a775f6af/downloade2060682c9c70d4d30c83c51448f4eedMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/cc6ef301-087d-4dee-a022-1e0d50fdc5ee/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTVelásquezRaúl_2016_SubdigroupsIsomorphismTheorems.pdf.txtVelásquezRaúl_2016_SubdigroupsIsomorphismTheorems.pdf.txtExtracted texttext/plain46233https://bibliotecadigital.udea.edu.co/bitstreams/8e461f0c-0210-494b-ae58-a699ba30880d/downloadaa167677b261729a45ef64634fe966f0MD54falseAnonymousREADTHUMBNAILVelásquezRaúl_2016_SubdigroupsIsomorphismTheorems.pdf.jpgVelásquezRaúl_2016_SubdigroupsIsomorphismTheorems.pdf.jpgGenerated Thumbnailimage/jpeg8858https://bibliotecadigital.udea.edu.co/bitstreams/4a142423-add6-40d4-ad32-0bd287ef08f3/download1a2413ad886cf9029f301741cf7f2c63MD55falseAnonymousREAD10495/22162oai:bibliotecadigital.udea.edu.co:10495/221622025-03-26 23:43:49.569http://creativecommons.org/licenses/by-nc-sa/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.coTk9URTogUExBQ0UgWU9VUiBPV04gTElDRU5TRSBIRVJFClRoaXMgc2FtcGxlIGxpY2Vuc2UgaXMgcHJvdmlkZWQgZm9yIGluZm9ybWF0aW9uYWwgcHVycG9zZXMgb25seS4KCk5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0Cm93bmVyKSBncmFudHMgdG8gRFNwYWNlIFVuaXZlcnNpdHkgKERTVSkgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgdG8gcmVwcm9kdWNlLAp0cmFuc2xhdGUgKGFzIGRlZmluZWQgYmVsb3cpLCBhbmQvb3IgZGlzdHJpYnV0ZSB5b3VyIHN1Ym1pc3Npb24gKGluY2x1ZGluZwp0aGUgYWJzdHJhY3QpIHdvcmxkd2lkZSBpbiBwcmludCBhbmQgZWxlY3Ryb25pYyBmb3JtYXQgYW5kIGluIGFueSBtZWRpdW0sCmluY2x1ZGluZyBidXQgbm90IGxpbWl0ZWQgdG8gYXVkaW8gb3IgdmlkZW8uCgpZb3UgYWdyZWUgdGhhdCBEU1UgbWF5LCB3aXRob3V0IGNoYW5naW5nIHRoZSBjb250ZW50LCB0cmFuc2xhdGUgdGhlCnN1Ym1pc3Npb24gdG8gYW55IG1lZGl1bSBvciBmb3JtYXQgZm9yIHRoZSBwdXJwb3NlIG9mIHByZXNlcnZhdGlvbi4KCllvdSBhbHNvIGFncmVlIHRoYXQgRFNVIG1heSBrZWVwIG1vcmUgdGhhbiBvbmUgY29weSBvZiB0aGlzIHN1Ym1pc3Npb24gZm9yCnB1cnBvc2VzIG9mIHNlY3VyaXR5LCBiYWNrLXVwIGFuZCBwcmVzZXJ2YXRpb24uCgpZb3UgcmVwcmVzZW50IHRoYXQgdGhlIHN1Ym1pc3Npb24gaXMgeW91ciBvcmlnaW5hbCB3b3JrLCBhbmQgdGhhdCB5b3UgaGF2ZQp0aGUgcmlnaHQgdG8gZ3JhbnQgdGhlIHJpZ2h0cyBjb250YWluZWQgaW4gdGhpcyBsaWNlbnNlLiBZb3UgYWxzbyByZXByZXNlbnQKdGhhdCB5b3VyIHN1Ym1pc3Npb24gZG9lcyBub3QsIHRvIHRoZSBiZXN0IG9mIHlvdXIga25vd2xlZGdlLCBpbmZyaW5nZSB1cG9uCmFueW9uZSdzIGNvcHlyaWdodC4KCklmIHRoZSBzdWJtaXNzaW9uIGNvbnRhaW5zIG1hdGVyaWFsIGZvciB3aGljaCB5b3UgZG8gbm90IGhvbGQgY29weXJpZ2h0LAp5b3UgcmVwcmVzZW50IHRoYXQgeW91IGhhdmUgb2J0YWluZWQgdGhlIHVucmVzdHJpY3RlZCBwZXJtaXNzaW9uIG9mIHRoZQpjb3B5cmlnaHQgb3duZXIgdG8gZ3JhbnQgRFNVIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdApzdWNoIHRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkCndpdGhpbiB0aGUgdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSUYgVEhFIFNVQk1JU1NJT04gSVMgQkFTRUQgVVBPTiBXT1JLIFRIQVQgSEFTIEJFRU4gU1BPTlNPUkVEIE9SIFNVUFBPUlRFRApCWSBBTiBBR0VOQ1kgT1IgT1JHQU5JWkFUSU9OIE9USEVSIFRIQU4gRFNVLCBZT1UgUkVQUkVTRU5UIFRIQVQgWU9VIEhBVkUKRlVMRklMTEVEIEFOWSBSSUdIVCBPRiBSRVZJRVcgT1IgT1RIRVIgT0JMSUdBVElPTlMgUkVRVUlSRUQgQlkgU1VDSApDT05UUkFDVCBPUiBBR1JFRU1FTlQuCgpEU1Ugd2lsbCBjbGVhcmx5IGlkZW50aWZ5IHlvdXIgbmFtZShzKSBhcyB0aGUgYXV0aG9yKHMpIG9yIG93bmVyKHMpIG9mIHRoZQpzdWJtaXNzaW9uLCBhbmQgd2lsbCBub3QgbWFrZSBhbnkgYWx0ZXJhdGlvbiwgb3RoZXIgdGhhbiBhcyBhbGxvd2VkIGJ5IHRoaXMKbGljZW5zZSwgdG8geW91ciBzdWJtaXNzaW9uLgo= |