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## Rings Fileds Books

### Rings Fileds Books

#### Foundations of Module and Ring Theory

On the one hand this book intends to provide an introduction to module theory and the related part of ring theory. Topics covered includes: Elementary properties of rings, Module categories, Modules characterized by the Hom-functor, Notions derived from simple modules, Finiteness conditions in modules, Dual finiteness conditions, Pure sequences and derived notions, Relations between functors and Functor rings.

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616Pages

#### Ring Theory by wikibook

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):

NAPages

#### 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.

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106Pages

#### Rings And Galois Theory

This note covers the following topics: Rings: Definition, examples and elementary properties, Ideals and ring homomorphisms, Polynomials, unique factorisation, Factorisation of polynomials, Prime and maximal ideals, Fields, Motivatie Galoistheorie, Splitting fields and Galois groups, The Main Theorem of Galois theory, Solving equation and Finite fields.

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121Pages

#### Number Rings

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.

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84Pages

#### Galois Theory

Currently this section contains no detailed description for the page, will update this page soon.

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NAPages

#### Galois Theory PDF

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

NAPages

#### Lectures on Field Theory and Ramification Theory

Currently this section contains no detailed description for the page, will update this page soon.

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NAPages

#### Notes on Galois Theory

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

NAPages

#### Rings and Fields Lecture Notes

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

NAPages