Naseem, Asim (2009) Subfields of Valued Field and Galois Theory of Transcendental Extensions. PhD thesis, Govt. College University, Lahore .
This Dissertation Focuses on: 1. Exploring the Subfields of a higher rank valued field (K,v), which are closed (Complete) under the topology induced by the valuation v on K. By following this direction, we generalize some known results from classical theory of valuations [, , or  for structure theorems of local fields]. 2. We introduce, by following some ideas of O. F. G. Schilling , a new construction for a Galois theory of a class of subextensions of k((X))/k, This will help us to obtain new information on the structure of the subfields L of k((X)) and, implicitly, on some transcendental functions of k((X)).
|Item Type:||Thesis (PhD)|
|Uncontrolled Keywords:||Subfields, Valued, Field, Galois, Theory, Transcendental, Extensions|
|Subjects:||Physical Sciences (f) > Mathematics(f5)|
|Deposited By:||Mr. Javed Memon|
|Deposited On:||18 Jul 2011 15:06|
|Last Modified:||18 Jul 2011 15:06|
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