Certain Number Theoretic Episodes In Algebra Second Edition


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Certain Number-Theoretic Episodes In Algebra, Second Edition


Certain Number-Theoretic Episodes In Algebra, Second Edition

Author: R Sivaramakrishnan

language: en

Publisher: CRC Press

Release Date: 2019-03-19


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The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book.

Certain Number-Theoretic Episodes In Algebra


Certain Number-Theoretic Episodes In Algebra

Author: Sivaramakrishnan R

language: en

Publisher: CRC Press

Release Date: 2006-09-22


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Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutati

The Separable Galois Theory of Commutative Rings, Second Edition


The Separable Galois Theory of Commutative Rings, Second Edition

Author: Andy R. Magid

language: en

Publisher: CRC Press

Release Date: 2014-07-14


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The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains a new chapter on the theory of separable algebras. The book develops the notion of commutative separable algebra over a given commutative ring and explains how to construct an equivalent category of profinite spaces on which a profinite groupoid acts. It explores how the connection between the categories depends on the construction of a suitable separable closure of the given ring, which in turn depends on certain notions in profinite topology. The book also discusses how to handle rings with infinitely many idempotents using profinite topological spaces and other methods.