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

Abstract Algebra : : Applications to Galois Theory, Algebraic Geometry and Cryptography / / Gerhard Rosenberger, Benjamin Fine, Celine Carstensen.

A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theore...

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Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Carstensen, Celine,
Fine, Benjamin,
Rosenberger, Gerhard,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©2011
Year of Publication:2011
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (366 p.) :; Num. figs.
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100 1 |a Carstensen, Celine,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Abstract Algebra :  |b Applications to Galois Theory, Algebraic Geometry and Cryptography /  |c Gerhard Rosenberger, Benjamin Fine, Celine Carstensen. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2011] 
264 4 |c ©2011 
300 |a 1 online resource (366 p.) :  |b Num. figs. 
336 |a text  |b txt  |2 rdacontent 
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505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1 Groups, Rings and Fields --   |t 2 Maximal and Prime Ideals --   |t 3 Prime Elements and Unique Factorization Domains --   |t 4 Polynomials and Polynomial Rings --   |t 5 Field Extensions --   |t 6 Field Extensions and Compass and Straightedge Constructions --   |t 7 Kronecker’s Theorem and Algebraic Closures --   |t 8 Splitting Fields and Normal Extensions --   |t 9 Groups, Subgroups and Examples --   |t 10 Normal Subgroups, Factor Groups and Direct Products --   |t 11 Symmetric and Alternating Groups --   |t 12 Solvable Groups --   |t 13 Groups Actions and the Sylow Theorems --   |t 14 Free Groups and Group Presentations --   |t 15 Finite Galois Extensions --   |t 16 Separable Field Extensions --   |t 17 Applications of Galois Theory --   |t 18 The Theory of Modules --   |t 19 Finitely Generated Abelian Groups --   |t 20 Integral and Transcendental Extensions --   |t 21 The Hilbert Basis Theorem and the Nullstellensatz --   |t 22 Algebraic Cryptography --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations; also contains topics that cannot be found elsewhere, and also offers a chapter on cryptography. End of chapter problems help readers with accessing the subjects. This work is co-published with the Heldermann Verlag, and within Heldermann's Sigma Series in Mathematics. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) 
650 0 |a Algebra, Abstract. 
650 0 |a Cryptography. 
650 0 |a Galois theory. 
650 0 |a Geometry, Algebraic. 
650 4 |a Universelle Algebra. 
650 7 |a MATHEMATICS / Algebra / Abstract.  |2 bisacsh 
653 |a Algebra. 
653 |a Algebraic Structure. 
653 |a Cryptology. 
700 1 |a Fine, Benjamin,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Rosenberger, Gerhard,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DGBA Backlist Mathematics 2000-2014 (EN)  |z 9783110238471 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t DGBA Mathematics - 2000 - 2014  |z 9783110637205  |o ZDB-23-GMA 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011  |z 9783110261233 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011  |z 9783110261202  |o ZDB-23-DMN 
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856 4 0 |u https://www.degruyter.com/isbn/9783110250091 
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