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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A weak version of Rolle's theorem


Author: Thomas C. Craven
Journal: Proc. Amer. Math. Soc. 125 (1997), 3147-3153
MSC (1991): Primary 12D10, 12E05; Secondary 12J10
MathSciNet review: 1401731
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Abstract: We investigate the fields with the property that any polynomial over the field which splits in the field has a derivative which also splits.


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Additional Information

Thomas C. Craven
Affiliation: Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822
Email: tom@math.hawaii.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03910-5
PII: S 0002-9939(97)03910-5
Keywords: Polynomial, multiplier sequence, valuation theory, ordered field
Received by editor(s): January 23, 1996
Received by editor(s) in revised form: May 13, 1996
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1997 American Mathematical Society