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Introductory Notes on Valuation Rings and Function Fields in One Variable

The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful;

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Fields and Rings

This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings;

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Commutative Algebra Volume 1

matrices and determinants. The opening chapter develops introductory notions concerning groups, rings, fields, polynomial rings, and vector;

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Algebraic Numbers and Algebraic Functions

is algebraic numbers and algebraic functions, there is no greater master than Emil Artin. In this classic text, originated from the notes of the course;

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Modules over Discrete Valuation Rings

interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its;

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Quantum Theory of Many Variable Systems and Fields

These lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College;

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Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

includes background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric;

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London Mathematical Society Lecture Note Series

This is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category mod-R of all right;

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Introductory Course In Commutative Algebra

This book aims to be a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. It;

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Complex Multiplication

theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field;

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Free Ideal Rings and Localization in General Rings

Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm;

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Commutative Rings

This volume presents up-to-date references on the latest developments in commutative algebra and related areas featuring 19 original;

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Dynamics in One Non-Archimedean Variable

The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a;

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The Hurwitz and the Lerch Zeta-Functions in the Second Variable

The Hurwitz and the Lerch Zeta- Functions in the Second Variable, which is based on author's own research work, mainly deals with the study;

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Rings, Groups, and Algebras

groups, homology algebra, module theory, valuation theory, and more.";

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Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces

This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces;

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Local Fields

of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are;

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Integral Operators in Non Standard Function Spaces

This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces;

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Continuous Geometry

notes, begins with the development of the axioms of continuous geometry, dimension theory, and--for the irreducible case--the function D(a). The;

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Steps in Commutative Algebra

This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic;

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Steps in Commutative Algebra

This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic;

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Rings of Continuous Function

This book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and;

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Rings of Continuous Function

This book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and;

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Basic Structures of Function Field Arithmetic

From the reviews: The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a;

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Elliptic Curves, Hilbert Modular Forms And Galois Deformatio

. The notes by Gebhard Boeckle offer a comprehensive course on Galois deformation theory, starting from the foundational results of Mazur and;

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Rings, Fields, and Vector Spaces

at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester;

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Commutative Ring Theory

, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The;

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