Naseem, Asim (2009) *Subfields of Valued Field and Galois Theory of Transcendental Extensions.* PhD thesis, Govt. College University, Lahore .

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## Abstract

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 [[18], [13], or [19] for structure theorems of local fields]. 2. We introduce, by following some ideas of O. F. G. Schilling [16], 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) |
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Uncontrolled Keywords: | Subfields, Valued, Field, Galois, Theory, Transcendental, Extensions |

Subjects: | Physical Sciences (f) > Mathematics(f5) |

ID Code: | 6694 |

Deposited By: | Mr. Javed Memon |

Deposited On: | 18 Jul 2011 15:06 |

Last Modified: | 18 Jul 2011 15:06 |

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