K-theory of n-coherent rings

Ellis, Eugenia - Parra, Rafael

Resumen:

Let R be a strong n-coherent ring such that each finitely n-presented R-module has finite projective dimension. We consider FPₙ(R) the full subcategory of R-Mod of finitely n-presented modules. We prove that FPₙ(R) is an exact category, Kᵢ(R) = Kᵢ(FPₙ(R)) for every i ≥ 0 and we obtain an expression of Nilᵢ(R)


Detalles Bibliográficos
2022
ANII - FCE_3_2018_1_148588
K-theory
Strong n-coherence
Regularities properties
Inglés
Universidad de la República
COLIBRI
https://www.worldscientific.com/doi/10.1142/S021949882350007X
https://www.worldscientific.com/worldscinet/jaa
https://arxiv.org/abs/2008.09256
https://hdl.handle.net/20.500.12008/33741
Acceso abierto
Licencia Creative Commons Atribución (CC - By 4.0)
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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 2022-09-09T16:50:43Z
dc.date.available.none.fl_str_mv 2022-09-09T16:50:43Z
dc.date.issued.none.fl_str_mv 2023
dc.description.abstract.none.fl_txt_mv Let R be a strong n-coherent ring such that each finitely n-presented R-module has finite projective dimension. We consider FPₙ(R) the full subcategory of R-Mod of finitely n-presented modules. We prove that FPₙ(R) is an exact category, Kᵢ(R) = Kᵢ(FPₙ(R)) for every i ≥ 0 and we obtain an expression of Nilᵢ(R)
dc.description.sponsorship.none.fl_txt_mv ANII - FCE_3_2018_1_148588
dc.format.extent.es.fl_str_mv 13 p.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv Ellis, E. y Parra, R. K-theory of n-coherent rings [Preprint] Publicado en : Journal of Algebra and Its Applications, 2023, pp. 2350007 (1-13). DOI: 10.1142/S021949882350007X. ISSN: 0219-4988.
dc.identifier.uri.none.fl_str_mv https://www.worldscientific.com/doi/10.1142/S021949882350007X
https://www.worldscientific.com/worldscinet/jaa
https://arxiv.org/abs/2008.09256
https://hdl.handle.net/20.500.12008/33741
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv World Scientific Publishing Company
dc.relation.ispartof.es.fl_str_mv Journal of Algebra and Its Applications, 2023, pp. 2350007 (1-13)
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución (CC - By 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
Strong n-coherence
Regularities properties
dc.title.none.fl_str_mv K-theory of n-coherent rings
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 Let R be a strong n-coherent ring such that each finitely n-presented R-module has finite projective dimension. We consider FPₙ(R) the full subcategory of R-Mod of finitely n-presented modules. We prove that FPₙ(R) is an exact category, Kᵢ(R) = Kᵢ(FPₙ(R)) for every i ≥ 0 and we obtain an expression of Nilᵢ(R)
eu_rights_str_mv openAccess
format preprint
id COLIBRI_55f368d97c3f41aa693f45248e356052
identifier_str_mv Ellis, E. y Parra, R. K-theory of n-coherent rings [Preprint] Publicado en : Journal of Algebra and Its Applications, 2023, pp. 2350007 (1-13). DOI: 10.1142/S021949882350007X. ISSN: 0219-4988.
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:20.500.12008/33741
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 (CC - By 4.0)
spelling Ellis Eugenia, Universidad de la República (Uruguay). Facultad de Ingeniería.Parra Rafael, Universidad de la República (Uruguay). Facultad de Ingeniería.2022-09-09T16:50:43Z2022-09-09T16:50:43Z2023Ellis, E. y Parra, R. K-theory of n-coherent rings [Preprint] Publicado en : Journal of Algebra and Its Applications, 2023, pp. 2350007 (1-13). DOI: 10.1142/S021949882350007X. ISSN: 0219-4988.https://www.worldscientific.com/doi/10.1142/S021949882350007Xhttps://www.worldscientific.com/worldscinet/jaahttps://arxiv.org/abs/2008.09256https://hdl.handle.net/20.500.12008/33741Let R be a strong n-coherent ring such that each finitely n-presented R-module has finite projective dimension. We consider FPₙ(R) the full subcategory of R-Mod of finitely n-presented modules. We prove that FPₙ(R) is an exact category, Kᵢ(R) = Kᵢ(FPₙ(R)) for every i ≥ 0 and we obtain an expression of Nilᵢ(R)Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2022-09-09T04:53:39Z No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) EP23.pdf: 180217 bytes, checksum: ca3bcd69edda65e9eab63bd1b011f922 (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2022-09-09T16:36:24Z (GMT) No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) EP23.pdf: 180217 bytes, checksum: ca3bcd69edda65e9eab63bd1b011f922 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-09-09T16:50:43Z (GMT). No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) EP23.pdf: 180217 bytes, checksum: ca3bcd69edda65e9eab63bd1b011f922 (MD5) Previous issue date: 2023ANII - FCE_3_2018_1_14858813 p.application/pdfenengWorld Scientific Publishing CompanyJournal of Algebra and Its Applications, 2023, pp. 2350007 (1-13)Las 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. 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- Universidad de la Repúblicafalse
spellingShingle K-theory of n-coherent rings
Ellis, Eugenia
K-theory
Strong n-coherence
Regularities properties
status_str submittedVersion
title K-theory of n-coherent rings
title_full K-theory of n-coherent rings
title_fullStr K-theory of n-coherent rings
title_full_unstemmed K-theory of n-coherent rings
title_short K-theory of n-coherent rings
title_sort K-theory of n-coherent rings
topic K-theory
Strong n-coherence
Regularities properties
url https://www.worldscientific.com/doi/10.1142/S021949882350007X
https://www.worldscientific.com/worldscinet/jaa
https://arxiv.org/abs/2008.09256
https://hdl.handle.net/20.500.12008/33741