ENGLISH

Abstract Algebra: With Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography

By Gerhard Rosenberger , Leonard Wienke , Annika Schürenberg

Book information

Publisher
de Gruyter
Year
2024
ISBN
9783111139517, 9783111142524, 9783111142845
DOI
10.1515/9783111142524
Language
english
Format
PDF
Filesize
8 MB (8819284 bytes)
Series
De Gruyter Textbook
Edition
3
Pages
410\423
Topic
Mathematics Algebra
Orientation
yes
Paginated
no
Scanned
portrait
Time added
2024-07-29 11:58:20
Algebraic CryptographyfieldsGalois TheoryGroupsModulesNullstellensatzRings

Description

Abstract algebra is the study of algebraic structures like groups, rings and fields. This book provides an account of the theoretical foundations including applications to Galois Theory, Algebraic Geometry and Representation Theory. It implements the pedagogic approach to conveying algebra from the perspective of rings. The 3rd edition provides a revised and extended versions of the chapters on Algebraic Cryptography and Geometric Group Theory. - Uses a modern approach to introduce algebra via rings and integers rather than via group theory. - Covers unique topics such as Algebraic Geometry and cryptography. - Includes important recent applications and accompanying exercises.

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