Smoothness of coalgebras and higher degrees of Hoch

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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.

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Autores principales: Farinati, M.A., Solotar, A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00224049_v169_n2-3_p201_Farinati
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00224049_v169_n2-3_p201_Farinati2023-10-03T14:32:38Z Smoothness of coalgebras and higher degrees of Hoch Farinati, M.A. Solotar, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Farinati, M.A.
Solotar, A.
spellingShingle Farinati, M.A.
Solotar, A.
Smoothness of coalgebras and higher degrees of Hoch
author_facet Farinati, M.A.
Solotar, A.
author_sort Farinati, M.A.
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
url http://hdl.handle.net/20.500.12110/paper_00224049_v169_n2-3_p201_Farinati
work_keys_str_mv AT farinatima smoothnessofcoalgebrasandhigherdegreesofhoch
AT solotara smoothnessofcoalgebrasandhigherdegreesofhoch
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