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Article Citation - WoS: 6Some Examples in Cogalois Theory With Applications To Elementary Fleld Arithmetic(World Scientific Publ Co Pte Ltd, 2002) Albu, TomaThe aim of this paper is to provide some examples in Cogalois Theory showing that the property of a field extension to be radical (resp. Kneser, or Cogalois) is not transitive and is not inherited by subextensions. Our examples refer especially to extensions of type Q(root r + root d)/Q. We also effectively calculate the Cogalois groups of these extensions. A series of applications to elementary arithmetic of fields, like: for what n, d is an element of N* is root n + root d a sum of radicals of positive rational numbers when is (n0)root a(0) a finite sum of monomials of form c center dot(n1)root a(1)(j1) ... (nr)root a(r)(jr), where r, j(1), ... , j(r) is an element of N*, c is an element of Q*, and a(0), ... , a(r) is an element of Q(+)(*) are also presented.Article Citation - WoS: 2Infinite Cogalois Theory, Clifford Extensions, and Hopf Algebras(World Scientific Publ Co Pte Ltd, 2003) Albu, TomaThe aim of this paper is to present some connections of infinite Cogalois Theory with Clifford extensions and Hopf algebras.
