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Rings Fileds Books

Rings Fileds Books

This section contains free e-books and guides on Rings Fileds, some of the resources in this section can be viewed online and some of them can be downloaded.

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.

Author(s):

s 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):

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.

Author(s):

s 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.

Author(s):

s 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.

Author(s):

s 84Pages

Galois Theory

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Author(s):

s NAPages

Galois Theory PDF

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Author(s):

s NAPages

Lectures on Field Theory and Ramification Theory

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Author(s):

s NAPages

Notes on Galois Theory

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Author(s):

s NAPages

Rings and Fields Lecture Notes

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

Author(s):

s NAPages