Stratifications of Algebras with radical square zero
RÉSUMÉ. Nous étudions les stratifications des algèbres de radical carré nul. Nous montrons qu’une telle algèbre est standardement stratifiée pour un certain ordre si et seulement si elle est quasi-triangulaire. Nous montrons également que dans ce cas, il existe un ordre tel que F(∆) = P roj et un or...
- Autores:
-
Nascimento Marcos, Eduardo
Advíncula Hernández, Fidel
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2006
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/26630
- Acceso en línea:
- http://hdl.handle.net/10495/26630
- Palabra clave:
- Álgebra
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
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Stratifications of Algebras with radical square zero |
| title |
Stratifications of Algebras with radical square zero |
| spellingShingle |
Stratifications of Algebras with radical square zero Álgebra |
| title_short |
Stratifications of Algebras with radical square zero |
| title_full |
Stratifications of Algebras with radical square zero |
| title_fullStr |
Stratifications of Algebras with radical square zero |
| title_full_unstemmed |
Stratifications of Algebras with radical square zero |
| title_sort |
Stratifications of Algebras with radical square zero |
| dc.creator.fl_str_mv |
Nascimento Marcos, Eduardo Advíncula Hernández, Fidel |
| dc.contributor.author.none.fl_str_mv |
Nascimento Marcos, Eduardo Advíncula Hernández, Fidel |
| dc.contributor.researchgroup.spa.fl_str_mv |
Álgebra U de A |
| dc.subject.agrovoc.none.fl_str_mv |
Álgebra |
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Álgebra |
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RÉSUMÉ. Nous étudions les stratifications des algèbres de radical carré nul. Nous montrons qu’une telle algèbre est standardement stratifiée pour un certain ordre si et seulement si elle est quasi-triangulaire. Nous montrons également que dans ce cas, il existe un ordre tel que F(∆) = P roj et un ordre tel que F(∆) = P <∞. |
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2006 |
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2006 |
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2022-03-15T19:21:29Z |
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eng |
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Ann. Sci. Math. Québec |
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141 |
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2 |
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135 |
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30 |
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Annales Des Sciences Mathematiques Du Quebec |
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Université de Montréal, Centre de recherches mathématiques |
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Montreal, Canadá |
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Universidad de Antioquia |
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Nascimento Marcos, EduardoAdvíncula Hernández, FidelÁlgebra U de A2022-03-15T19:21:29Z2022-03-15T19:21:29Z20060707-9109http://hdl.handle.net/10495/26630RÉSUMÉ. Nous étudions les stratifications des algèbres de radical carré nul. Nous montrons qu’une telle algèbre est standardement stratifiée pour un certain ordre si et seulement si elle est quasi-triangulaire. Nous montrons également que dans ce cas, il existe un ordre tel que F(∆) = P roj et un ordre tel que F(∆) = P <∞.ABSTRACT. We study the stratifications of algebras with radical square zero. We show that an algebra with radical square zero is standardly stratified in some order if and only if it is quasi-triangular. We also show that for such algebras there is an order such that F(∆) = P roj and also an order such F(∆) = P <∞.COL00868967application/pdfengUniversité de Montréal, Centre de recherches mathématiquesMontreal, Canadáhttp://creativecommons.org/licenses/by/2.5/co/https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Stratifications of Algebras with radical square zeroArtículo 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/publishedVersionÁlgebraAnn. Sci. Math. Québec141213530Annales Des Sciences Mathematiques Du QuebecPublicationORIGINALDoNascimentoMarcos_2006_StratificationsAlgebrasRadical.pdfDoNascimentoMarcos_2006_StratificationsAlgebrasRadical.pdfArtículo de investigaciónapplication/pdf144966https://bibliotecadigital.udea.edu.co/bitstreams/1589f078-060f-44ff-a5b4-f2831ff272ae/download7603c8f9da0c820d24e2f81997d92ed3MD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8927https://bibliotecadigital.udea.edu.co/bitstreams/b5df9d62-2704-44b7-a9a0-ea13183c8371/download1646d1f6b96dbbbc38035efc9239ac9cMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/a51b6d1d-3c3b-417f-90c2-3f7ed0f1b9ed/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTDoNascimentoMarcos_2006_StratificationsAlgebrasRadical.pdf.txtDoNascimentoMarcos_2006_StratificationsAlgebrasRadical.pdf.txtExtracted texttext/plain20321https://bibliotecadigital.udea.edu.co/bitstreams/15938282-a5c7-4a4e-9f45-3c4d2be52518/download192f7a5e2a71e9777b8f6ad8845b79f4MD54falseAnonymousREADTHUMBNAILDoNascimentoMarcos_2006_StratificationsAlgebrasRadical.pdf.jpgDoNascimentoMarcos_2006_StratificationsAlgebrasRadical.pdf.jpgGenerated Thumbnailimage/jpeg12018https://bibliotecadigital.udea.edu.co/bitstreams/bc11f70c-63c6-4875-8880-414c16022aad/downloadbf9a82935356665f686717cb11aa3738MD55falseAnonymousREAD10495/26630oai:bibliotecadigital.udea.edu.co:10495/266302025-03-27 00:47:37.751http://creativecommons.org/licenses/by/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.coTk9URTogUExBQ0UgWU9VUiBPV04gTElDRU5TRSBIRVJFClRoaXMgc2FtcGxlIGxpY2Vuc2UgaXMgcHJvdmlkZWQgZm9yIGluZm9ybWF0aW9uYWwgcHVycG9zZXMgb25seS4KCk5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0Cm93bmVyKSBncmFudHMgdG8gRFNwYWNlIFVuaXZlcnNpdHkgKERTVSkgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgdG8gcmVwcm9kdWNlLAp0cmFuc2xhdGUgKGFzIGRlZmluZWQgYmVsb3cpLCBhbmQvb3IgZGlzdHJpYnV0ZSB5b3VyIHN1Ym1pc3Npb24gKGluY2x1ZGluZwp0aGUgYWJzdHJhY3QpIHdvcmxkd2lkZSBpbiBwcmludCBhbmQgZWxlY3Ryb25pYyBmb3JtYXQgYW5kIGluIGFueSBtZWRpdW0sCmluY2x1ZGluZyBidXQgbm90IGxpbWl0ZWQgdG8gYXVkaW8gb3IgdmlkZW8uCgpZb3UgYWdyZWUgdGhhdCBEU1UgbWF5LCB3aXRob3V0IGNoYW5naW5nIHRoZSBjb250ZW50LCB0cmFuc2xhdGUgdGhlCnN1Ym1pc3Npb24gdG8gYW55IG1lZGl1bSBvciBmb3JtYXQgZm9yIHRoZSBwdXJwb3NlIG9mIHByZXNlcnZhdGlvbi4KCllvdSBhbHNvIGFncmVlIHRoYXQgRFNVIG1heSBrZWVwIG1vcmUgdGhhbiBvbmUgY29weSBvZiB0aGlzIHN1Ym1pc3Npb24gZm9yCnB1cnBvc2VzIG9mIHNlY3VyaXR5LCBiYWNrLXVwIGFuZCBwcmVzZXJ2YXRpb24uCgpZb3UgcmVwcmVzZW50IHRoYXQgdGhlIHN1Ym1pc3Npb24gaXMgeW91ciBvcmlnaW5hbCB3b3JrLCBhbmQgdGhhdCB5b3UgaGF2ZQp0aGUgcmlnaHQgdG8gZ3JhbnQgdGhlIHJpZ2h0cyBjb250YWluZWQgaW4gdGhpcyBsaWNlbnNlLiBZb3UgYWxzbyByZXByZXNlbnQKdGhhdCB5b3VyIHN1Ym1pc3Npb24gZG9lcyBub3QsIHRvIHRoZSBiZXN0IG9mIHlvdXIga25vd2xlZGdlLCBpbmZyaW5nZSB1cG9uCmFueW9uZSdzIGNvcHlyaWdodC4KCklmIHRoZSBzdWJtaXNzaW9uIGNvbnRhaW5zIG1hdGVyaWFsIGZvciB3aGljaCB5b3UgZG8gbm90IGhvbGQgY29weXJpZ2h0LAp5b3UgcmVwcmVzZW50IHRoYXQgeW91IGhhdmUgb2J0YWluZWQgdGhlIHVucmVzdHJpY3RlZCBwZXJtaXNzaW9uIG9mIHRoZQpjb3B5cmlnaHQgb3duZXIgdG8gZ3JhbnQgRFNVIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdApzdWNoIHRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkCndpdGhpbiB0aGUgdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSUYgVEhFIFNVQk1JU1NJT04gSVMgQkFTRUQgVVBPTiBXT1JLIFRIQVQgSEFTIEJFRU4gU1BPTlNPUkVEIE9SIFNVUFBPUlRFRApCWSBBTiBBR0VOQ1kgT1IgT1JHQU5JWkFUSU9OIE9USEVSIFRIQU4gRFNVLCBZT1UgUkVQUkVTRU5UIFRIQVQgWU9VIEhBVkUKRlVMRklMTEVEIEFOWSBSSUdIVCBPRiBSRVZJRVcgT1IgT1RIRVIgT0JMSUdBVElPTlMgUkVRVUlSRUQgQlkgU1VDSApDT05UUkFDVCBPUiBBR1JFRU1FTlQuCgpEU1Ugd2lsbCBjbGVhcmx5IGlkZW50aWZ5IHlvdXIgbmFtZShzKSBhcyB0aGUgYXV0aG9yKHMpIG9yIG93bmVyKHMpIG9mIHRoZQpzdWJtaXNzaW9uLCBhbmQgd2lsbCBub3QgbWFrZSBhbnkgYWx0ZXJhdGlvbiwgb3RoZXIgdGhhbiBhcyBhbGxvd2VkIGJ5IHRoaXMKbGljZW5zZSwgdG8geW91ciBzdWJtaXNzaW9uLgo= |
