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Ring Derivations on Function Algebras

Published online by Cambridge University Press:  20 November 2018

N. R. Nandakumar
N. R. Nandakumar*
Affiliation:
Department of Mathematics, Delaware State College, Dover, DE 19901, USA
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Abstract

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In this paper we show that a ring derivation on a function algebra is trivial provided that the Choquet boundary of the algebra contains a dense sequentially non-isolated set.

Keywords

13B1046J1046J20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 1 , 01 March 1990 , pp. 69 - 72
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Becker, J., A note on derivations of algebras of analytic functions, Crelle's Journal, 297 (1978) pp. 211-213.Google Scholar
2. Browder, A., Introduction to function algebras, Benjamin, (1969).Google Scholar
3. Cartiér, P., Derivations dans les corps, Séminaire E.N.S.-Géométrique algébrique, Paris, 8, (1955/56).Google Scholar
4. Johnson, B. E., Continuity of derivations on commutative algebras, Amer. Journ. of Math., XCI, (1969) pp 1–10.Google Scholar
5. Nandakumar, N. R., An application of Nienhuys-Thiemann s theorem to ring derivations on H﹛G), Proc. Kon. Ned. Akad. van Wetensch, A 91, (1988) pp 199-203.Google Scholar
6. Singer, I. M. and Wermer, J., Derivations on commutative algebras, Mathematische Annalen, 129, (1955) pp 260-264.Google Scholar
7. Steen, L. A. and Seebach, A., Counter examples in topology, Holt Rinehardt Winston, Inc., (1970).Google Scholar
8. Thomas, M. P., Image of a derivation is contained in the radical, Annals of Math., 128, (1988) pp 435--460.Google Scholar