A note on deformations of finite dimensional modules over -algebras
ABSTRACT: Let k be a field, and let be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left -module which is finite dimensional over k and such that dimk Ext1 (V, V) ≤ 1. Assume further that V has a weak universal deformation ring Rw(, V), which is a complete Noetherian...
- Autores:
-
Hernández Rizzo, Pedro Jesús
Vélez Marulanda, José Alberto
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2024
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/41548
- Acceso en línea:
- https://hdl.handle.net/10495/41548
- Palabra clave:
- Algebra
Álgebra
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/2.5/co/
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A note on deformations of finite dimensional modules over -algebras |
| title |
A note on deformations of finite dimensional modules over -algebras |
| spellingShingle |
A note on deformations of finite dimensional modules over -algebras Algebra Álgebra |
| title_short |
A note on deformations of finite dimensional modules over -algebras |
| title_full |
A note on deformations of finite dimensional modules over -algebras |
| title_fullStr |
A note on deformations of finite dimensional modules over -algebras |
| title_full_unstemmed |
A note on deformations of finite dimensional modules over -algebras |
| title_sort |
A note on deformations of finite dimensional modules over -algebras |
| dc.creator.fl_str_mv |
Hernández Rizzo, Pedro Jesús Vélez Marulanda, José Alberto |
| dc.contributor.author.none.fl_str_mv |
Hernández Rizzo, Pedro Jesús Vélez Marulanda, José Alberto |
| dc.contributor.researchgroup.spa.fl_str_mv |
Álgebra U de A |
| dc.subject.decs.none.fl_str_mv |
Algebra |
| topic |
Algebra Álgebra |
| dc.subject.lemb.none.fl_str_mv |
Álgebra |
| description |
ABSTRACT: Let k be a field, and let be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left -module which is finite dimensional over k and such that dimk Ext1 (V, V) ≤ 1. Assume further that V has a weak universal deformation ring Rw(, V), which is a complete Noetherian commutative local k-algebra with residue field k. We prove in this note, under certain conditions on the -module V, that Rw(, V) is either isomorphic to k, or k[[t]], or to k[[t]]/(t N) for some integer N ≥ 2. |
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2024 |
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2024-08-28T12:55:28Z |
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2024-08-28T12:55:28Z |
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2024 |
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Artículo de investigación |
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Pedro Rizzo & José A. Vélez-Marulanda (19 Aug 2024): A note on deformations of finite dimensional modules over -algebras, Communications in Algebra, DOI: 10.1080/00927872.2024.2387048 |
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0092-7872 |
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https://hdl.handle.net/10495/41548 |
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10.1080/00927872.2024.2387048 |
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1532-4125 |
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Pedro Rizzo & José A. Vélez-Marulanda (19 Aug 2024): A note on deformations of finite dimensional modules over -algebras, Communications in Algebra, DOI: 10.1080/00927872.2024.2387048 0092-7872 10.1080/00927872.2024.2387048 1532-4125 |
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https://hdl.handle.net/10495/41548 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Commun. Algebra. |
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5 |
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1 |
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Communications in Algebra |
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6 páginas |
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Taylor and Francis |
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Filadelfia, Estados Unidos |
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Hernández Rizzo, Pedro JesúsVélez Marulanda, José AlbertoÁlgebra U de A2024-08-28T12:55:28Z2024-08-28T12:55:28Z2024Pedro Rizzo & José A. Vélez-Marulanda (19 Aug 2024): A note on deformations of finite dimensional modules over -algebras, Communications in Algebra, DOI: 10.1080/00927872.2024.23870480092-7872https://hdl.handle.net/10495/4154810.1080/00927872.2024.23870481532-4125ABSTRACT: Let k be a field, and let be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left -module which is finite dimensional over k and such that dimk Ext1 (V, V) ≤ 1. Assume further that V has a weak universal deformation ring Rw(, V), which is a complete Noetherian commutative local k-algebra with residue field k. We prove in this note, under certain conditions on the -module V, that Rw(, V) is either isomorphic to k, or k[[t]], or to k[[t]]/(t N) for some integer N ≥ 2.Universidad de Antioquia. Vicerrectoría de investigación. Comité para el Desarrollo de la Investigación - CODIFundación Universitaria Konrad LorenzCOL00868966 páginasapplication/pdfengTaylor and FrancisFiladelfia, Estados Unidoshttp://creativecommons.org/licenses/by-nc-nd/2.5/co/https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2A note on deformations of finite dimensional modules over -algebrasArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionAlgebraÁlgebraCommun. 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