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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.
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Foundations of Module and Ring TheoryRobert WisbauerPDF | 616 Pages | EnglishOn 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.
| Ring Theory by wikibookwikibookOnline | NA Pages | EnglishThis 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.
| Exercises and Solutions In Groups Rings and FieldsMahmut KuzucuogluPDF | 106 Pages | EnglishAim 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.
| Rings And Galois TheoryF.BeukerPDF | 121 Pages | EnglishThis 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.
| Number RingsStevenhagenPDF | 84 Pages | EnglishThis
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.
| Ring Theory Course notesAlistair SavagePDF | 81 Pages | EnglishThis note explains the general
definition of a ring and the types of maps allow between them and some important
example of polynomials rings. It then discuss classes of rings that have some
additional nice properties.
| | | Galois Theory | | Galois Theory PDF | | Lectures on Field Theory and Ramification Theory | | Notes on Galois Theory | | Rings and Fields Lecture Notes | | Introduction to Local Fields (PDF 57P) | | Local Fields and Their Extensions | | Invitation to Higher Local Fields, Geometry and Topology Monographs |
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