Linearly compact algebraic Lie algebras and coalgebraic Lie coalgebras
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- by Bienvenido Cuartero, José E. Galé and Arkadii M. Slinko PDF
- Proc. Amer. Math. Soc. 125 (1997), 1945-1952 Request permission
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.References
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Additional Information
- Bienvenido Cuartero
- Affiliation: Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
- Email: cuartero@cc.unizar.es
- José E. Galé
- Affiliation: Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
- Email: gale@cc.unizar.es
- Arkadii M. Slinko
- Affiliation: Department of Mathematics, University of Auckland, Private Bag 92019 Auckland, New Zealand
- Email: a.slinko@auckland.ac.nz
- Received by editor(s): August 31, 1995
- Received by editor(s) in revised form: January 25, 1996
- Additional Notes: The research of the first two authors has been partially supported by the Project PS090-0120, DGICYT, Spain.
This paper was written when the third author visited Universities of Oviedo and Zaragoza in January–February $1995$. It is his great pleasure to express his gratitude to both Departments of Mathematics for the hospitality and DGICYT (PS 90–0120) and The University of Oviedo for the financial support. - Communicated by: Roe W. Goodman
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1945-1952
- MSC (1991): Primary 17B99
- DOI: https://doi.org/10.1090/S0002-9939-97-03794-5
- MathSciNet review: 1376754