Artinian algebras and differential forms : Notas de Matemática, 63

This paper concerns commutative algebras over a Held k of characteristic zero which are finite dimensional as vectorspaces. We show that both standard graded and Gorenstein graded algebras satisfy the following statement: Artinian Berger Conjecture (ABC): Let A be a finite dimensional A:-algebra whi...

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Detalles Bibliográficos
Autores principales: Cortiñas, Guillermo Horacio, Krongold, Fabiana
Formato: Publicacion seriada
Lenguaje:Inglés
Publicado: 1997
Materias:
Matemática
Álgebra
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/171051
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-171051
record_format dspace
spelling I19-R120-10915-1710512024-10-02T20:11:20Z http://sedici.unlp.edu.ar/handle/10915/171051 Artinian algebras and differential forms : Notas de Matemática, 63 Cortiñas, Guillermo Horacio Krongold, Fabiana 1997 2024-10-02T17:05:28Z en Matemática Álgebra This paper concerns commutative algebras over a Held k of characteristic zero which are finite dimensional as vectorspaces. We show that both standard graded and Gorenstein graded algebras satisfy the following statement: Artinian Berger Conjecture (ABC): Let A be a finite dimensional A:-algebra which is not a principal ideal algebra. Then the following submodule of the Kahler differentials of A is nonzero: [formula] Here the intersection is taken over all principal ideal algebras B -algebras in which every ideal is principal- and all homomorphisms A → B . Material digitalizado en SEDICI gracias a la colaboración de la Biblioteca del Departamento de Matemática de la Facultad de Ciencias Exactas (UNLP). Facultad de Ciencias Exactas Publicacion seriada Publicacion seriada http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Álgebra
spellingShingle Matemática
Álgebra
Cortiñas, Guillermo Horacio
Krongold, Fabiana
Artinian algebras and differential forms : Notas de Matemática, 63
topic_facet Matemática
Álgebra
description This paper concerns commutative algebras over a Held k of characteristic zero which are finite dimensional as vectorspaces. We show that both standard graded and Gorenstein graded algebras satisfy the following statement: Artinian Berger Conjecture (ABC): Let A be a finite dimensional A:-algebra which is not a principal ideal algebra. Then the following submodule of the Kahler differentials of A is nonzero: [formula] Here the intersection is taken over all principal ideal algebras B -algebras in which every ideal is principal- and all homomorphisms A → B .
format Publicacion seriada
Publicacion seriada
author Cortiñas, Guillermo Horacio
Krongold, Fabiana
author_facet Cortiñas, Guillermo Horacio
Krongold, Fabiana
author_sort Cortiñas, Guillermo Horacio
title Artinian algebras and differential forms : Notas de Matemática, 63
title_short Artinian algebras and differential forms : Notas de Matemática, 63
title_full Artinian algebras and differential forms : Notas de Matemática, 63
title_fullStr Artinian algebras and differential forms : Notas de Matemática, 63
title_full_unstemmed Artinian algebras and differential forms : Notas de Matemática, 63
title_sort artinian algebras and differential forms : notas de matemática, 63
publishDate 1997
url http://sedici.unlp.edu.ar/handle/10915/171051
work_keys_str_mv AT cortinasguillermohoracio artinianalgebrasanddifferentialformsnotasdematematica63
AT krongoldfabiana artinianalgebrasanddifferentialformsnotasdematematica63
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