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Lectures On Finite Fields And Galois Rings

of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book;

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Finite Fields And Galois Rings

treatment of optimal normal basis and Galoi's rings is included. It is the first time that the galois rings are in book form.;

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Current Research Topics on Galois Geometrics

collected work presents current research topics in Galois geometry, and their applications. Presented topics include classical objects, blocking;

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Algebra

- Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes;

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Algebra

- Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes;

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Galois Theories

. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for;

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Infinite Crossed Products

of infinite group algebras, group-graded rings, and the Galois theory of noncommutative rings. Suitable for advanced undergraduates and graduate;

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Galois Fields and Galois Rings Made Easy

This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their;

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Galois Fields, Linear Feedback Shift Registers and Their Applications

galois fields and their relationship with linear feedback shift registers. The book has a strong focus on the technical application of galois;

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Algebra

ends of the chapters. Subjects include groups, rings, fields and Galois theory, modules, and structure of rings and algebras. Further topics;

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Galois Theory and Advanced Linear Algebra

This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and;

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Galois Theory and Advanced Linear Algebra

This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and;

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Galois Theories

topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and;

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(Mostly) Commutative Algebra

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At;

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Complex Multiplication

-function; explicit construction of rings of integers in ray class fields and Galois module structure; the construction of cryptographically;

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Galois Theory And Applications

I plan on assigning to my students this fall.'MAA ReviewsThe book provides exercises and problems with solutions in Galois Theory and its;

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Dynamics, Statistics and Projective Geometry of Galois Fields

theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and;

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Dynamics, Statistics and Projective Geometry of Galois Fields

theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and;

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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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A Course in Galois Theory

polynomial equation can be solved by repeatedly extracting roots and using elementary algebraic operations. This textbook, based on lectures given;

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Separable Galois Theory Of Commutative Rings

The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory;

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Rings, Fields and Groups

of its predecessor, this second edition has also been thoroughly revised to include a new chapter on Galois theory plus hints and solutions to;

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Abstract Algebra

in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible;

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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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Galois Theory

, and the Galois theory of origami. In addition, this book features detailed treatments of several topics not covered in standard texts on;

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Brauer Groups and the Cohomology of Graded Rings

of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer;

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Algebra

two-semester graduate-level abstract algebra course, including groups, rings and modules, fields and Galois theory, an introduction to;

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