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.
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| Lenguaje: | Inglés |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00224049_v169_n2-3_p201_Farinati |
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paperaa:paper_00224049_v169_n2-3_p201_Farinati2023-06-12T16:44:48Z Smoothness of coalgebras and higher degrees of Hoch J. Pure Appl. Algebra 2002;169(2-3):201-214 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. 2002 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng 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) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| 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 |
Artículo Artículo publishedVersion |
| 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 |
| publishDate |
2002 |
| 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 |
| _version_ |
1769810324494483456 |