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Module RINGS & FIELDS 2

Module code: MT344P
Credits: 5
Semester: 2
Department: MATHEMATICS AND STATISTICS
International: Yes
Overview Overview
 

This module builds on previous knowledge and gives an in depth understanding of Rings and Fields, covering the following topics. Field Extensions. Fields as factor rings. Algebraic elements, minimal polynomials, existence of roots of polynomials. Existence and uniqueness of splitting fields. Finite Fields. Fields of rational functions. Theory of a single linear transformation. Jordan normal form. Cayley-Hamilton theorem.

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Open Pre-Requisites
 
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