Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions
- Autores
- Herscovich, E.; Solotar, A.
- Año de publicación
- 2007
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to k-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a long exact sequence à la Happel and we give a generalization of this result which provides an alternative approach. © 2007 Elsevier Inc. All rights reserved.
Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. - Fuente
- J. Algebra 2007;315(2):852-873
- Materia
-
Derived equivalence
Hochschild-Mitchell cohomology
k-Category
One-point extension - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/2.5/ar
- Repositorio
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- Institución
- Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
- OAI Identificador
- paperaa:paper_00218693_v315_n2_p852_Herscovich
Ver los metadatos del registro completo
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Derived invariance of Hochschild-Mitchell (co)homology and one-point extensionsHerscovich, E.Solotar, A.Derived equivalenceHochschild-Mitchell cohomologyk-CategoryOne-point extensionIn this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to k-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a long exact sequence à la Happel and we give a generalization of this result which provides an alternative approach. © 2007 Elsevier Inc. All rights reserved.Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_HerscovichJ. Algebra 2007;315(2):852-873reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-10-23T11:18:34Zpaperaa:paper_00218693_v315_n2_p852_HerscovichInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-10-23 11:18:36.193Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse |
| dc.title.none.fl_str_mv |
Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions |
| title |
Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions |
| spellingShingle |
Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions Herscovich, E. Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension |
| title_short |
Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions |
| title_full |
Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions |
| title_fullStr |
Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions |
| title_full_unstemmed |
Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions |
| title_sort |
Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions |
| dc.creator.none.fl_str_mv |
Herscovich, E. Solotar, A. |
| author |
Herscovich, E. |
| author_facet |
Herscovich, E. Solotar, A. |
| author_role |
author |
| author2 |
Solotar, A. |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension |
| topic |
Derived equivalence Hochschild-Mitchell cohomology k-Category One-point extension |
| dc.description.none.fl_txt_mv |
In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to k-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a long exact sequence à la Happel and we give a generalization of this result which provides an alternative approach. © 2007 Elsevier Inc. All rights reserved. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. |
| description |
In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to k-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a long exact sequence à la Happel and we give a generalization of this result which provides an alternative approach. © 2007 Elsevier Inc. All rights reserved. |
| publishDate |
2007 |
| dc.date.none.fl_str_mv |
2007 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich |
| url |
http://hdl.handle.net/20.500.12110/paper_00218693_v315_n2_p852_Herscovich |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar |
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openAccess |
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http://creativecommons.org/licenses/by/2.5/ar |
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application/pdf |
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J. Algebra 2007;315(2):852-873 reponame:Biblioteca Digital (UBA-FCEN) instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales instacron:UBA-FCEN |
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Biblioteca Digital (UBA-FCEN) |
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Biblioteca Digital (UBA-FCEN) |
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Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
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UBA-FCEN |
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Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
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ana@bl.fcen.uba.ar |
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