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Selected exercises in algebra . Volume 2 / / Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich
| Selected exercises in algebra . Volume 2 / / Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich |
| Autore | Chirivì Rocco |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (301 pages) |
| Disciplina | 512.9 |
| Collana | Unitext - Matematica per il 3 + 2 |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-12651-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- 1 Theory -- 1.1 Groups -- 1.1.1 Basic Notions -- 1.1.2 Homomorphism Theorems -- 1.1.3 Free Groups -- 1.1.4 Presentations of Groups -- 1.1.5 The Dihedral Group -- 1.1.6 Group Automorphisms -- 1.1.7 Commutators and Abelianisation -- 1.1.8 Group Actions -- 1.1.9 The Action by Conjugation -- 1.1.10 The Action by Multiplication -- 1.1.11 p-Groups -- 1.1.12 Permutations -- 1.1.13 Abelian Groups -- 1.1.14 Semidirect Product -- 1.1.15 Sylow Theorems -- 1.1.16 Simple Groups -- 1.2 Rings -- 1.2.1 Basic Notions -- 1.2.2 Maximal and Prime Ideals -- 1.2.3 Quotient Rings -- 1.2.4 Ideal Operations -- 1.2.5 Fraction Fields and Localisations -- 1.2.6 Divisibility -- 1.2.7 Euclidean Domains -- 1.2.8 Principal Ideal Domains -- 1.2.9 Unique Factorisation Domains -- 1.2.10 Gaussian Integers -- 1.3 Fields and Galois Theory -- 1.3.1 Basic Notions -- 1.3.2 Homomorphism Extensions -- 1.3.3 Galois Correspondence -- 1.3.4 Cyclotomic Extensions -- 1.3.5 Straightedge and Compass Constructions -- 1.4 Preliminary Exercises -- 2 Exercises -- 2.1 Groups -- 2.2 Rings -- 2.3 Fields and Galois Theory -- 3 Solutions -- 3.1 Groups -- 3.2 Rings -- 3.3 Fields and Galois theory -- Index. |
| Record Nr. | UNINA-9910633920303321 |
Chirivì Rocco
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Selected exercises in algebra . Volume 2 / / Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich
| Selected exercises in algebra . Volume 2 / / Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich |
| Autore | Chirivì Rocco |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (301 pages) |
| Disciplina | 512.9 |
| Collana | Unitext - Matematica per il 3 + 2 |
| Soggetto topico |
Algebra
Àlgebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-12651-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- 1 Theory -- 1.1 Groups -- 1.1.1 Basic Notions -- 1.1.2 Homomorphism Theorems -- 1.1.3 Free Groups -- 1.1.4 Presentations of Groups -- 1.1.5 The Dihedral Group -- 1.1.6 Group Automorphisms -- 1.1.7 Commutators and Abelianisation -- 1.1.8 Group Actions -- 1.1.9 The Action by Conjugation -- 1.1.10 The Action by Multiplication -- 1.1.11 p-Groups -- 1.1.12 Permutations -- 1.1.13 Abelian Groups -- 1.1.14 Semidirect Product -- 1.1.15 Sylow Theorems -- 1.1.16 Simple Groups -- 1.2 Rings -- 1.2.1 Basic Notions -- 1.2.2 Maximal and Prime Ideals -- 1.2.3 Quotient Rings -- 1.2.4 Ideal Operations -- 1.2.5 Fraction Fields and Localisations -- 1.2.6 Divisibility -- 1.2.7 Euclidean Domains -- 1.2.8 Principal Ideal Domains -- 1.2.9 Unique Factorisation Domains -- 1.2.10 Gaussian Integers -- 1.3 Fields and Galois Theory -- 1.3.1 Basic Notions -- 1.3.2 Homomorphism Extensions -- 1.3.3 Galois Correspondence -- 1.3.4 Cyclotomic Extensions -- 1.3.5 Straightedge and Compass Constructions -- 1.4 Preliminary Exercises -- 2 Exercises -- 2.1 Groups -- 2.2 Rings -- 2.3 Fields and Galois Theory -- 3 Solutions -- 3.1 Groups -- 3.2 Rings -- 3.3 Fields and Galois theory -- Index. |
| Record Nr. | UNISA-996499867503316 |
|
Chirivì Rocco
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||