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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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Algebra 2

(including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra;

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Algebra 2

(including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra;

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An Introduction to Linear Algebra

The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group;

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Foundations of Galois Theory

treatment of the basics of Galois theory. The source of modern abstract algebra and one of abstract algebra's most concrete applications, Galois;

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Galois Embedding Problems

basic concepts of Galois theory, inverse Galois theory, Galois embedding problems and infinite Galois theory. We also explain the role of T;

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(Mostly) Commutative Algebra

rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts;

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Advanced Linear Algebra

Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author's emphasis on vector spaces;

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An Introduction to Galois Cohomology and its Applications

inverse Galois theory, rationality questions or the essential dimension of algebraic groups. Assuming only a minimal background in algebra, the;

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Galois Theory

concepts in modern algebra, including groups and fields. Covering classic applications of the theory, such as solvability by radicals, geometric;

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Galois Theories

then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a;

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Abstract Algebra

polynomials, a fresh approach to modules and linear algebra, a fresh take on Groebner theory, and a group theoretic treatment of Rejewski's;

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Algebra: From the Viewpoint of Galois Theory

in mathematics. The second centers around Galois theory and its applications. Historically, this theory originated from the problem of studying algebraic;

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Problems in Abstract Algebra

duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra;

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Elements of Abstract Algebra

groups. Chapter III (Field Theory) reviews linear algebra and introduces fields as a prelude to Galois theory. In addition there is a full;

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Galois Representations and Phi, Gamma-modules

p-adic Galois representations to seemingly much simpler objects of (semi)linear algebra, the so-called etale (phi, gamma)-modules. This book;

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Aspects of Galois Theory

Galois theory is a central part of algebra, dealing with symmetries between solutions of algebraic equations in one variable. This is a;

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Introduction To Algebra

. Later chapters then introduce a number of more advanced topics, including simple groups and extensions, Noetherian rings, universal algebra;

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Linear Algebra and Geometry

This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks;

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First Course In Linear Algebra, A

algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook;

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First Course In Linear Algebra, A

algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook;

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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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Algebra

covers the direction of algebraic equations, including the Galois theory, and the final two parts cover the direction of linear and multilinear;

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Course On Abstract Algebra, A

such as Lagrange's Theorem and Sylow's Theorems follow as applications of group theory. Ring theory forms the second part of abstract algebra;

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Hopf Algebras

basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra. After introducing;

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Galois Groups & Fundamental Groups

Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century;

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