Partial (co)actions of Taft and Nichols Hopf algebras on algebras |
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| Affiliation: | 1. Instituto Federal Sul-rio-grandense, Brazil;2. Universidade Federal do Rio Grande do Sul, Brazil;1. Departamento de Matemáticas, Universidad de La Frontera, Casilla 54-D, Temuco, Chile;2. Departamento de Matemáticas, Universidad del Valle, Ciudad Universitaria Meléndez, Calle 13 # 100-00, Código Postal 760032, Cali, Colombia;1. Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, United Kingdom;2. School of Mathematics and Applied Statistics, University of Wollongong, NSW 2522, Australia;3. Department of Mathematics, The City College of New York, 160 Convent Avenue, New York, NY 10031, USA |
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| Abstract: | In this paper, we characterize suitable partial (co)actions of Taft and Nichols Hopf algebras on algebras, and moreover we get that such partial (co)actions are symmetric. For certain algebras, these partial (co)actions obtained are, indeed, all of them. This work generalizes the results obtained by the authors in [16]. |
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| Keywords: | Partial action Partial coaction Taft algebra Nichols Hopf algebra |
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