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Linearly compact algebraic Lie algebras and coalgebraic Lie coalgebras |
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| Authors: | Bienvenido Cuartero José E. Galé Arkadii M. Slinko |
| Affiliation: | Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain ; Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain ; Department of Mathematics, University of Auckland, Private Bag 92019 Auckland, New Zealand |
| Abstract: | It is proved that if the dual Lie algebra of a Lie coalgebra is algebraic, then it is algebraic of bounded degree. This result is an analog of the D.Radford's result for associative coalgebras. |
| Keywords: | Lie coalgebra dual Lie algebra algebraic Lie algebra of bounded degree |
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