Kooperativer Bibliotheksverbund

UID:

Format: XI, 366 S. : , graph. Darst.

ISBN: 978-3-11-025008-4

Series Statement: Sigma series in pure mathematics 11

Note: Includes bibliographical references and index

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-025009-1

Language: English

Subjects: Mathematics

Keywords: Universelle Algebra ; Lehrbuch

URL: Inhaltsverzeichnis

URL: Inhaltstext

URL: Inhaltstext

Author information: Rosenberger, Gerhard 1944-

Author information: Carstensen-Opitz, Celine

Author information: Fine, Benjamin 1948-

UID:

Format: Online-Ressource (XI, 366 S.)

Edition: Online-Ausg. 2011 Electronic reproduction; Available via World Wide Web

ISBN: 9783110250084

Series Statement: De Gruyter Graduate 11

Content: 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. Celine Carstensen, Volkswohlbund Insurance, Dortmund, Germany;Benjamin Fine, Fairfield University, Connecticut, USA; Gerhard Rosenberger, Universität Hamburg, Germany.

Note: Includes bibliographical references and index , 16 Separable Field Extensions17 Applications of Galois Theory; 18 The Theory of Modules; 19 Finitely Generated Abelian Groups; 20 Integral and Transcendental Extensions; 21 The Hilbert Basis Theorem and the Nullstellensatz; 22 Algebraic Cryptography; Bibliography; Index;. , Preface; Contents; 1 Groups, Rings and Fields; 2 Maximal and Prime Ideals; 3 Prime Elements and Unique Factorization Domains; 4 Polynomials and Polynomial Rings; 5 Field Extensions; 6 Field Extensions and Compass and Straightedge Constructions; 7 Kronecker's Theorem and Algebraic Closures; 8 Splitting Fields and Normal Extensions; 9 Groups, Subgroups and Examples; 10 Normal Subgroups, Factor Groups and Direct Products; 11 Symmetric and Alternating Groups; 12 Solvable Groups; 13 Groups Actions and the Sylow Theorems; 14 Free Groups and Group Presentations; 15 Finite Galois Extensions.

Additional Edition: ISBN 9783110250091

Language: English

DOI: 10.1515/9783110250091

URL: http://www.degruyter.com/doi/book/10.1515/9783110250091

URL: Cover

Author information: Fine, Benjamin, 1948-

Author information: Rosenberger, Gerhard, 1944-

Author information: Carstensen-Opitz, Celine.

UID:

Format: 1 Online-Ressource (XI, 366 S.) : , graph. Darst.

ISBN: 978-3-11-025009-1

Series Statement: De Gruyter Graduate 11

Note: 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. Celine Carstensen, Volkswohlbund Insurance, Dortmund, Germany;Benjamin Fine, Fairfield University, Connecticut, USA; Gerhard Rosenberger, Universität Hamburg, Germany

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-025008-4

Language: English

Keywords: Universelle Algebra

DOI: 10.1515/9783110250091

URL: Volltext

Author information: Rosenberger, Gerhard 1944-

Author information: Carstensen-Opitz, Celine

Author information: Fine, Benjamin 1948-

UID:

Format: 1 online resource (366 p.) : , Num. figs.

ISBN: 9783110250091 , 9783110238570

Series Statement: De Gruyter Textbook

Content: 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.

Note: Frontmatter -- , Preface -- , Contents -- , 1 Groups, Rings and Fields -- , 2 Maximal and Prime Ideals -- , 3 Prime Elements and Unique Factorization Domains -- , 4 Polynomials and Polynomial Rings -- , 5 Field Extensions -- , 6 Field Extensions and Compass and Straightedge Constructions -- , 7 Kronecker's Theorem and Algebraic Closures -- , 8 Splitting Fields and Normal Extensions -- , 9 Groups, Subgroups and Examples -- , 10 Normal Subgroups, Factor Groups and Direct Products -- , 11 Symmetric and Alternating Groups -- , 12 Solvable Groups -- , 13 Groups Actions and the Sylow Theorems -- , 14 Free Groups and Group Presentations -- , 15 Finite Galois Extensions -- , 16 Separable Field Extensions -- , 17 Applications of Galois Theory -- , 18 The Theory of Modules -- , 19 Finitely Generated Abelian Groups -- , 20 Integral and Transcendental Extensions -- , 21 The Hilbert Basis Theorem and the Nullstellensatz -- , 22 Algebraic Cryptography -- , Bibliography -- , Index , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570

In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471

In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205

In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011, De Gruyter, 9783110261189

In: E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011, De Gruyter, 9783110261233

In: E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011, De Gruyter, 9783110261202

Language: English

DOI: 10.1515/9783110250091

URL: https://doi.org/10.1515/9783110250091

URL: https://www.degruyter.com/isbn/9783110250091

URL: Cover

UID:

Format: 1 online resource (366 p.) : , Num. figs.

ISBN: 9783110250091 , 9783110238570

Series Statement: De Gruyter Textbook

Content: 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.

Note: Frontmatter -- , Preface -- , Contents -- , 1 Groups, Rings and Fields -- , 2 Maximal and Prime Ideals -- , 3 Prime Elements and Unique Factorization Domains -- , 4 Polynomials and Polynomial Rings -- , 5 Field Extensions -- , 6 Field Extensions and Compass and Straightedge Constructions -- , 7 Kronecker's Theorem and Algebraic Closures -- , 8 Splitting Fields and Normal Extensions -- , 9 Groups, Subgroups and Examples -- , 10 Normal Subgroups, Factor Groups and Direct Products -- , 11 Symmetric and Alternating Groups -- , 12 Solvable Groups -- , 13 Groups Actions and the Sylow Theorems -- , 14 Free Groups and Group Presentations -- , 15 Finite Galois Extensions -- , 16 Separable Field Extensions -- , 17 Applications of Galois Theory -- , 18 The Theory of Modules -- , 19 Finitely Generated Abelian Groups -- , 20 Integral and Transcendental Extensions -- , 21 The Hilbert Basis Theorem and the Nullstellensatz -- , 22 Algebraic Cryptography -- , Bibliography -- , Index , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570

In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471

In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205

In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011, De Gruyter, 9783110261189

In: E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011, De Gruyter, 9783110261233

In: E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011, De Gruyter, 9783110261202

Language: English

DOI: 10.1515/9783110250091

URL: https://doi.org/10.1515/9783110250091

URL: https://www.degruyter.com/isbn/9783110250091

URL: Cover