On cycles of length three
- Autores
- Chaio, Claudia Alicia; Guazzelli, Victoria Laura; Suarez, Pamela Yael
- Año de publicación
- 2022
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We prove that if A is a string algebra then there are not three irreducible morphisms between indecomposable A-modules such that its composition belongs to R6\R7, whenever the compositions of two of them are not in R3. Moreover, for any positive integer n≥3, we show that there are algebras where their module category have n irreducible morphisms such that their composition is in Rn+4\Rn+5.
Fil: Chaio, Claudia Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina
Fil: Guazzelli, Victoria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina
Fil: Suarez, Pamela Yael. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina - Materia
-
DEGREES
IRREDUCIBLE
RADICAL
STRING - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/217472
Ver los metadatos del registro completo
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On cycles of length threeChaio, Claudia AliciaGuazzelli, Victoria LauraSuarez, Pamela YaelDEGREESIRREDUCIBLERADICALSTRINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove that if A is a string algebra then there are not three irreducible morphisms between indecomposable A-modules such that its composition belongs to R6\R7, whenever the compositions of two of them are not in R3. Moreover, for any positive integer n≥3, we show that there are algebras where their module category have n irreducible morphisms such that their composition is in Rn+4\Rn+5.Fil: Chaio, Claudia Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; ArgentinaFil: Guazzelli, Victoria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; ArgentinaFil: Suarez, Pamela Yael. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; ArgentinaTaylor & Francis2022-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/217472Chaio, Claudia Alicia; Guazzelli, Victoria Laura; Suarez, Pamela Yael; On cycles of length three; Taylor & Francis; Communications In Algebra; 50; 6; 6-2022; 2532-25560092-7872CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1080/00927872.2021.2009493info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/00927872.2021.2009493info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:59:26Zoai:ri.conicet.gov.ar:11336/217472instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:59:27.195CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
On cycles of length three |
| title |
On cycles of length three |
| spellingShingle |
On cycles of length three Chaio, Claudia Alicia DEGREES IRREDUCIBLE RADICAL STRING |
| title_short |
On cycles of length three |
| title_full |
On cycles of length three |
| title_fullStr |
On cycles of length three |
| title_full_unstemmed |
On cycles of length three |
| title_sort |
On cycles of length three |
| dc.creator.none.fl_str_mv |
Chaio, Claudia Alicia Guazzelli, Victoria Laura Suarez, Pamela Yael |
| author |
Chaio, Claudia Alicia |
| author_facet |
Chaio, Claudia Alicia Guazzelli, Victoria Laura Suarez, Pamela Yael |
| author_role |
author |
| author2 |
Guazzelli, Victoria Laura Suarez, Pamela Yael |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
DEGREES IRREDUCIBLE RADICAL STRING |
| topic |
DEGREES IRREDUCIBLE RADICAL STRING |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
We prove that if A is a string algebra then there are not three irreducible morphisms between indecomposable A-modules such that its composition belongs to R6\R7, whenever the compositions of two of them are not in R3. Moreover, for any positive integer n≥3, we show that there are algebras where their module category have n irreducible morphisms such that their composition is in Rn+4\Rn+5. Fil: Chaio, Claudia Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina Fil: Guazzelli, Victoria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina Fil: Suarez, Pamela Yael. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina |
| description |
We prove that if A is a string algebra then there are not three irreducible morphisms between indecomposable A-modules such that its composition belongs to R6\R7, whenever the compositions of two of them are not in R3. Moreover, for any positive integer n≥3, we show that there are algebras where their module category have n irreducible morphisms such that their composition is in Rn+4\Rn+5. |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022-06 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/217472 Chaio, Claudia Alicia; Guazzelli, Victoria Laura; Suarez, Pamela Yael; On cycles of length three; Taylor & Francis; Communications In Algebra; 50; 6; 6-2022; 2532-2556 0092-7872 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/217472 |
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Chaio, Claudia Alicia; Guazzelli, Victoria Laura; Suarez, Pamela Yael; On cycles of length three; Taylor & Francis; Communications In Algebra; 50; 6; 6-2022; 2532-2556 0092-7872 CONICET Digital CONICET |
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eng |
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eng |
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info:eu-repo/semantics/altIdentifier/doi/10.1080/00927872.2021.2009493 info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/00927872.2021.2009493 |
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openAccess |
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Taylor & Francis |
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Taylor & Francis |
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