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Rings and Fields by Laurent W. Marcoux
This PDF covers the following topics related to Rings and Fields : A brief overview, An introduction to Rings, Integral Domains and Fields, Homorphisms, ideals and quotient rings, Prime ideals, maximal ideals, and fields of quotients, Euclidean Domains, Factorisation in polynomial rings, Vector spaces, Extension fields, Straight-edge and Compasses constructions.
Author(s): Laurent W. Marcoux, University of Waterloo
254 Pages
This wikibook explains ring theory. Topics covered includes: Rings, Properties of rings, Integral domains and Fields, Subrings, Idempotent and Nilpotent elements, Characteristic of a ring, Ideals in a ring, Simple ring, Homomorphisms, Principal Ideal Domains, Euclidean domains, Polynomial rings, Unique Factorization domain, Extension fields.
Author(s): wikibook
NA Pages
Exercises and Solutions In Groups Rings and Fields
Aim of this book is to help the students by giving them some exercises and get them familiar with some solutions. Some of the solutions here are very short and in the form of a hint. Topics covered includes: Sets, Integers, Functions, Groups, Rings and Fields.
Author(s): Mahmut Kuzucuoglu
106 Pages
This note covers the following topics: Introduction to number rings, Ideal arithmetic, Explicit ideal factorization, Linear algebra for number rings, Geometry of numbers, Zeta functions, Computing units and class groups, Galois theory for number fields.
Author(s): Stevenhagen
84 Pages
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Author(s): NA
NA Pages
Lectures on Field Theory and Ramification Theory
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Author(s): NA
NA Pages
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NA Pages
Rings and Fields Lecture Notes
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