Smoothness of coalgebras and higher degrees of Hoch

We prove that if C is a cocommutative k-coalgebra such that dimk(ke Λ ke) < N for all group-like elements e εo C ⊗ k, then smoothness of C is equivalent to the condition Hoch*(C) = 0 for all * ≥ N. © 2002 Elsevier Science B.V. All rights reserved.

Guardado en:
Detalles Bibliográficos
Autores principales: Farinati, Marco Andres, Solotar, Andrea Leonor
Publicado: 2002
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v169_n2-3_p201_Farinati
http://hdl.handle.net/20.500.12110/paper_00224049_v169_n2-3_p201_Farinati
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00224049_v169_n2-3_p201_Farinati
record_format dspace
spelling paper:paper_00224049_v169_n2-3_p201_Farinati2023-06-08T14:50:38Z Smoothness of coalgebras and higher degrees of Hoch Farinati, Marco Andres Solotar, Andrea Leonor We prove that if C is a cocommutative k-coalgebra such that dimk(ke Λ ke) < N for all group-like elements e εo C ⊗ k, then smoothness of C is equivalent to the condition Hoch*(C) = 0 for all * ≥ N. © 2002 Elsevier Science B.V. All rights reserved. Fil:Farinati, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v169_n2-3_p201_Farinati http://hdl.handle.net/20.500.12110/paper_00224049_v169_n2-3_p201_Farinati
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We prove that if C is a cocommutative k-coalgebra such that dimk(ke Λ ke) < N for all group-like elements e εo C ⊗ k, then smoothness of C is equivalent to the condition Hoch*(C) = 0 for all * ≥ N. © 2002 Elsevier Science B.V. All rights reserved.
author Farinati, Marco Andres
Solotar, Andrea Leonor
spellingShingle Farinati, Marco Andres
Solotar, Andrea Leonor
Smoothness of coalgebras and higher degrees of Hoch
author_facet Farinati, Marco Andres
Solotar, Andrea Leonor
author_sort Farinati, Marco Andres
title Smoothness of coalgebras and higher degrees of Hoch
title_short Smoothness of coalgebras and higher degrees of Hoch
title_full Smoothness of coalgebras and higher degrees of Hoch
title_fullStr Smoothness of coalgebras and higher degrees of Hoch
title_full_unstemmed Smoothness of coalgebras and higher degrees of Hoch
title_sort smoothness of coalgebras and higher degrees of hoch
publishDate 2002
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v169_n2-3_p201_Farinati
http://hdl.handle.net/20.500.12110/paper_00224049_v169_n2-3_p201_Farinati
work_keys_str_mv AT farinatimarcoandres smoothnessofcoalgebrasandhigherdegreesofhoch
AT solotarandrealeonor smoothnessofcoalgebrasandhigherdegreesofhoch
_version_ 1768545541411569664

Ejemplares similares