On Mutual Definability of Operations on Fields

We study the possibilities of defining some operations on fields via the remaining operations. In particular, we prove that multiplication on an arbitrary field can be defined via addition if and only if the field is a finite extension of its prime subfield. We give a sufficient condition for the no...

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Bibliographic Details

Published in:	Siberian mathematical journal Vol. 60; no. 6; pp. 1032 - 1039
Main Authors:	Korotkova, R. M., Kudinov, O. V., Morozov, A. S.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-11-2019 Springer Nature B.V
Subjects:	Automorphisms Mathematics Mathematics and Statistics Multiplication field exponentiation definability
Online Access:	Get full text
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