On extension of a given finitely additive field-valued, non negative measure, on a finitely additive Boolean tribe, to another tribe more ample
Otton Martin Nikodým (1956)
Rendiconti del Seminario Matematico della Università di Padova
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Otton Martin Nikodým (1956)
Rendiconti del Seminario Matematico della Università di Padova
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Murray Eisenberg (1966)
Fundamenta Mathematicae
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C. Chang, Andrzej Ehrenfeucht (1962)
Fundamenta Mathematicae
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William F. Keigher, V. Ravi Srinivasan (2011)
Banach Center Publications
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In this article, we study solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equations and study the group of differential automorphisms of the solutions. Moreover, we give explicit formulas that compute the group of differential automorphisms. We require neither that the underlying field be algebraically closed nor that the characteristic of the field be zero.
Fernando Fernández Rodríguez, Agustín Llerena Achutegui (1991)
Extracta Mathematicae
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We say that a field K has the Extension Property if every automorphism of K(X) extends to an automorphism of K. J.M. Gamboa and T. Recio [2] have introduced this concept, naive in appearance, because of its crucial role in the study of homogeneity conditions in spaces of orderings of functions fields. Gamboa [1] has studied several classes of fields with this property: Algebraic extensions of the field Q of rational numbers; euclidean, algebraically closed and pythagorean fields; fields...
A. Morel (1964)
Fundamenta Mathematicae
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L. Makar-Limanov (1984)
Bulletin de la Société Mathématique de France
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