Hochschild-Mitchell cohomology of a locally bounded category
We consider k-linear categories A which are locally bounded, that is, for every object x, the sums Sigma(y) dim(k) A(x,y) and Sigma(y) dim(k) A(y,x) are finite. Let x(1), x(2),..., be an enumeration of the objects of A such that for each n is an element of N, the full subcategory A((n)) of A formed...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/2266 |
| Acceso en línea: | http://hdl.handle.net/11154/2266 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics, Applied Mathematics Hochschild-Mitchell cohomology locally bounded category inverse limit |
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Hochschild-Mitchell cohomology of a locally bounded categoryDe La Pena, JAGarcía, CMathematics, AppliedMathematicsHochschild-Mitchell cohomologylocally bounded categoryinverse limitWe consider k-linear categories A which are locally bounded, that is, for every object x, the sums Sigma(y) dim(k) A(x,y) and Sigma(y) dim(k) A(y,x) are finite. Let x(1), x(2),..., be an enumeration of the objects of A such that for each n is an element of N, the full subcategory A((n)) of A formed by the objects x(1), x(2),...,x(n) is convex in A. We compute the Hochschild-Mitchell cohomology of A as the inverse limit of the cohomologies of the categories A((n)).2011-01-22T10:26:15Z2011-01-22T10:26:15Z2007info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0219-4988http://hdl.handle.net/11154/226610836(4):587-593reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenJournal of Algebra and Its Applicationsinfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/22662025-09-17T19:20:55Z |
| dc.title.none.fl_str_mv |
Hochschild-Mitchell cohomology of a locally bounded category |
| title |
Hochschild-Mitchell cohomology of a locally bounded category |
| spellingShingle |
Hochschild-Mitchell cohomology of a locally bounded category De La Pena, JA Mathematics, Applied Mathematics Hochschild-Mitchell cohomology locally bounded category inverse limit |
| title_short |
Hochschild-Mitchell cohomology of a locally bounded category |
| title_full |
Hochschild-Mitchell cohomology of a locally bounded category |
| title_fullStr |
Hochschild-Mitchell cohomology of a locally bounded category |
| title_full_unstemmed |
Hochschild-Mitchell cohomology of a locally bounded category |
| title_sort |
Hochschild-Mitchell cohomology of a locally bounded category |
| dc.creator.none.fl_str_mv |
De La Pena, JA García, C |
| author |
De La Pena, JA |
| author_facet |
De La Pena, JA García, C |
| author_role |
author |
| author2 |
García, C |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Mathematics, Applied Mathematics Hochschild-Mitchell cohomology locally bounded category inverse limit |
| topic |
Mathematics, Applied Mathematics Hochschild-Mitchell cohomology locally bounded category inverse limit |
| description |
We consider k-linear categories A which are locally bounded, that is, for every object x, the sums Sigma(y) dim(k) A(x,y) and Sigma(y) dim(k) A(y,x) are finite. Let x(1), x(2),..., be an enumeration of the objects of A such that for each n is an element of N, the full subcategory A((n)) of A formed by the objects x(1), x(2),...,x(n) is convex in A. We compute the Hochschild-Mitchell cohomology of A as the inverse limit of the cohomologies of the categories A((n)). |
| publishDate |
2007 |
| dc.date.none.fl_str_mv |
2007 2011-01-22T10:26:15Z 2011-01-22T10:26:15Z |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
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article |
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publishedVersion |
| dc.identifier.none.fl_str_mv |
0219-4988 http://hdl.handle.net/11154/2266 1083 |
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0219-4988 1083 |
| url |
http://hdl.handle.net/11154/2266 |
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en |
| language_invalid_str_mv |
en |
| dc.relation.none.fl_str_mv |
Journal of Algebra and Its Applications |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.source.none.fl_str_mv |
6(4):587-593 reponame:Sistema de Información de la Facultad de Ciencias, UNAM instname:Universidad Nacional Autónoma de México instacron:UNAM |
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Universidad Nacional Autónoma de México |
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UNAM |
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UNAM |
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Sistema de Información de la Facultad de Ciencias, UNAM |
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Sistema de Información de la Facultad de Ciencias, UNAM |
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1858176996921573376 |
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15.811543 |