On the K-theory of Z-categories
Resumen:
We relate the notions of Noetherian, regular coherent and regular n-coherent category for Z-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing negative K-theory of Z-linear categories.
| 2022 | |
| ANII - FCE_3_2018_1_148588 | |
|
K-Theory and Homology Category Theory |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
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https://arxiv.org/abs/2207.04918
https://hdl.handle.net/20.500.12008/33740 |
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| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522889859072000 |
|---|---|
| author | Ellis, Eugenia |
| author2 | Parra, Rafael |
| author2_role | author |
| author_facet | Ellis, Eugenia Parra, Rafael |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Ellis Eugenia, Universidad de la República (Uruguay). Facultad de Ingeniería. Parra Rafael, Universidad de la República (Uruguay). Facultad de Ingeniería. |
| dc.creator.none.fl_str_mv | Ellis, Eugenia Parra, Rafael |
| dc.date.accessioned.none.fl_str_mv | 2022-09-09T16:50:07Z |
| dc.date.available.none.fl_str_mv | 2022-09-09T16:50:07Z |
| dc.date.issued.none.fl_str_mv | 2022 |
| dc.description.abstract.none.fl_txt_mv | We relate the notions of Noetherian, regular coherent and regular n-coherent category for Z-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing negative K-theory of Z-linear categories. |
| dc.description.sponsorship.none.fl_txt_mv | ANII - FCE_3_2018_1_148588 |
| dc.format.extent.es.fl_str_mv | 16 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Ellis, E. y Parra, R On the K-theory of Z-categories. [Preprint]. Publicado en : Mathematics (math.KT-K-Theory and Homology), 2022, pp. 1-16. arXiv 2207.04918. |
| dc.identifier.uri.none.fl_str_mv | https://arxiv.org/abs/2207.04918 https://hdl.handle.net/20.500.12008/33740 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (math.KT-K-Theory and Homology), arXiv:2207.04918, jul 2022, pp 1-16 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | K-Theory and Homology Category Theory |
| dc.title.none.fl_str_mv | On the K-theory of Z-categories |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | We relate the notions of Noetherian, regular coherent and regular n-coherent category for Z-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing negative K-theory of Z-linear categories. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_d5af499fa63c60d3604739beb6697580 |
| identifier_str_mv | Ellis, E. y Parra, R On the K-theory of Z-categories. [Preprint]. Publicado en : Mathematics (math.KT-K-Theory and Homology), 2022, pp. 1-16. arXiv 2207.04918. |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/33740 |
| publishDate | 2022 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Ellis Eugenia, Universidad de la República (Uruguay). Facultad de Ingeniería.Parra Rafael, Universidad de la República (Uruguay). Facultad de Ingeniería.2022-09-09T16:50:07Z2022-09-09T16:50:07Z2022Ellis, E. y Parra, R On the K-theory of Z-categories. [Preprint]. Publicado en : Mathematics (math.KT-K-Theory and Homology), 2022, pp. 1-16. arXiv 2207.04918.https://arxiv.org/abs/2207.04918https://hdl.handle.net/20.500.12008/33740We relate the notions of Noetherian, regular coherent and regular n-coherent category for Z-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing negative K-theory of Z-linear categories.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2022-09-09T06:13:08Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) EP22.pdf: 218771 bytes, checksum: c40d54ade7d30c338bbf117f0d1b2651 (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2022-09-09T16:35:56Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) EP22.pdf: 218771 bytes, checksum: c40d54ade7d30c338bbf117f0d1b2651 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-09-09T16:50:07Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) EP22.pdf: 218771 bytes, checksum: c40d54ade7d30c338bbf117f0d1b2651 (MD5) Previous issue date: 2022ANII - FCE_3_2018_1_14858816 p.application/pdfenengarXivMathematics (math.KT-K-Theory and Homology), arXiv:2207.04918, jul 2022, pp 1-16Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)K-Theory and HomologyCategory TheoryOn the K-theory of Z-categoriesPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaEllis, EugeniaParra, RafaelLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/33740/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/33740/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-838616http://localhost:8080/xmlui/bitstream/20.500.12008/33740/3/license_text36c32e9c6da50e6d55578c16944ef7f6MD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | On the K-theory of Z-categories Ellis, Eugenia K-Theory and Homology Category Theory |
| status_str | submittedVersion |
| title | On the K-theory of Z-categories |
| title_full | On the K-theory of Z-categories |
| title_fullStr | On the K-theory of Z-categories |
| title_full_unstemmed | On the K-theory of Z-categories |
| title_short | On the K-theory of Z-categories |
| title_sort | On the K-theory of Z-categories |
| topic | K-Theory and Homology Category Theory |
| url | https://arxiv.org/abs/2207.04918 https://hdl.handle.net/20.500.12008/33740 |
