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Algebra and number theory : an integrated approach / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
| Algebra and number theory : an integrated approach / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin |
| Autore | Dixon Martyn R (Martyn Russell), <1955-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2010 |
| Descrizione fisica | 1 online resource (538 p.) |
| Disciplina | 512 |
| Altri autori (Persone) |
KurdachenkoL
SubbotinIgor Ya. <1950-> |
| Soggetto topico |
Number theory
Algebra |
| ISBN |
1-283-20343-X
9786613203434 0-470-64054-5 0-470-64053-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Algebra and Number Theory: An Integrated Approach; CONTENTS; PREFACE; CHAPTER 1 SETS; 1.1 Operations on Sets; Exercise Set 1.1; 1.2 Set Mappings; Exercise Set 1.2; 1.3 Products of Mappings; Exercise Set 1.3; 1.4 Some Properties of Integers; Exercise Set 1.4; CHAPTER 2 MATRICES AND DETERMINANTS; 2.1 Operations on Matrices; Exercise Set 2.1; 2.2 Permutations of Finite Sets; Exercise Set 2.2; 2.3 Determinants of Matrices; Exercise Set 2.3; 2.4 Computing Determinants; Exercise Set 2.4; 2.5 Properties of the Product of Matrices; Exercise Set 2.5; CHAPTER 3 FIELDS; 3.1 Binary Algebraic Operations
Exercise Set 3.13.2 Basic Properties of Fields; Exercise Set 3.2; 3.3 The Field of Complex Numbers; Exercise Set 3.3; CHAPTER 4 VECTOR SPACES; 4.1 Vector Spaces; Exercise Set 4.1; 4.2 Dimension; Exercise Set 4.2; 4.3 The Rank of a Matrix; Exercise Set 4.3; 4.4 Quotient Spaces; Exercise Set 4.4; CHAPTER 5 LINEAR MAPPINGS; 5.1 Linear Mappings; Exercise Set 5.1; 5.2 Matrices of Linear Mappings; Exercise Set 5.2; 5.3 Systems of Linear Equations; Exercise Set 5.3; 5.4 Eigenvectors and Eigenvalues; Exercise Set 5.4; CHAPTER 6 BILINEAR FORMS; 6.1 Bilinear Forms; Exercise Set 6.1; 6.2 Classical Forms Exercise Set 6.26.3 Symmetric Forms over R; Exercise Set 6.3; 6.4 Euclidean Spaces; Exercise Set 6.4; CHAPTER 7 RINGS; 7.1 Rings, Subrings, and Examples; Exercise Set 7.1; 7.2 Equivalence Relations; Exercise Set 7.2; 7.3 Ideals and Quotient Rings; Exercise Set 7.3; 7.4 Homomorphisms of Rings; Exercise Set 7.4; 7.5 Rings of Polynomials and Formal Power Series; Exercise Set 7.5; 7.6 Rings of Multivariable Polynomials; Exercise Set 7.6; CHAPTER 8 GROUPS; 8.1 Groups and Subgroups; Exercise Set 8.1; 8.2 Examples of Groups and Subgroups; Exercise Set 8.2; 8.3 Cosets; Exercise Set 8.3 8.4 Normal Subgroups and Factor GroupsExercise Set 8.4; 8.5 Homomorphisms of Groups; Exercise Set 8.5; CHAPTER 9 ARITHMETIC PROPERTIES OF RINGS; 9.1 Extending Arithmetic to Commutative Rings; Exercise Set 9.1; 9.2 Euclidean Rings; Exercise Set 9.2; 9.3 Irreducible Polynomials; Exercise Set 9.3; 9.4 Arithmetic Functions; Exercise Set 9.4; 9.5 Congruences; Exercise Set 9.5; CHAPTER 10 THE REAL NUMBER SYSTEM; 10.1 The Natural Numbers; 10.2 The Integers; 10.3 The Rationals; 10.4 The Real Numbers; ANSWERS TO SELECTED EXERCISES; INDEX |
| Record Nr. | UNINA-9910133223003321 |
Dixon Martyn R (Martyn Russell), <1955->
|
||
| Hoboken, N.J., : Wiley, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Groups with prescribed quotient groups and associated module theory [[electronic resource] /] / L. Kurdachenko, J. Otal, I. Subbotin
| Groups with prescribed quotient groups and associated module theory [[electronic resource] /] / L. Kurdachenko, J. Otal, I. Subbotin |
| Autore | Kurdachenko L |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 512/.2 |
| Altri autori (Persone) |
OtalJean-Pierre
SubbotinIgor Ya. <1950-> |
| Collana | Series in algebra |
| Soggetto topico |
Group theory
Modules (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-829-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Notation ; I Simple Modules ; 1. On Annihilators of Modules ; 2. The Structure of Simple Modules over Abelian Groups ; 3. The Structure of Simple Modules over Some Generalizations of Abelian Groups ; 4. Complements of Simple Submodules ; II Just Infinite Modules
5. Some Results on Modules over Dedekind Domains 6. Just Infinite Modules over FC-Hypercentral Groups ; 7. Just Infinite Modules over Groups of Finite 0-Rank ; 8. Just Infinite Modules over Polycyclic-by-Finite Groups ; 9. Co-Layer-Finite Modules over Dedekind Domains III Just Non-X-Groups 10. The Fitting Subgroup of Some Just Non-X-Groups ; 11. Just Non-Abelain Groups ; 12. Just Non-Hypercentral Groups and Just Non-Hypercentral Modules ; 13. Groups with Many Nilpotent Factor-Groups ; 14. Groups with Proper Periodic Factor-Groups 15. Just Non-(Polycyclic-by-Finite) Groups 16. Just Non-CC-Groups and Related Classes ; 17. Groups Whose Proper Factor-Groups Have a Transitive Normality Relation ; Bibliography ; Author Index ; Subject Index |
| Record Nr. | UNINA-9910458061703321 |
|
Kurdachenko L
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Groups with prescribed quotient groups and associated module theory [[electronic resource] /] / L. Kurdachenko, J. Otal, I. Subbotin
| Groups with prescribed quotient groups and associated module theory [[electronic resource] /] / L. Kurdachenko, J. Otal, I. Subbotin |
| Autore | Kurdachenko L |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 512/.2 |
| Altri autori (Persone) |
OtalJean-Pierre
SubbotinIgor Ya. <1950-> |
| Collana | Series in algebra |
| Soggetto topico |
Group theory
Modules (Algebra) |
| ISBN | 981-277-829-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Notation ; I Simple Modules ; 1. On Annihilators of Modules ; 2. The Structure of Simple Modules over Abelian Groups ; 3. The Structure of Simple Modules over Some Generalizations of Abelian Groups ; 4. Complements of Simple Submodules ; II Just Infinite Modules
5. Some Results on Modules over Dedekind Domains 6. Just Infinite Modules over FC-Hypercentral Groups ; 7. Just Infinite Modules over Groups of Finite 0-Rank ; 8. Just Infinite Modules over Polycyclic-by-Finite Groups ; 9. Co-Layer-Finite Modules over Dedekind Domains III Just Non-X-Groups 10. The Fitting Subgroup of Some Just Non-X-Groups ; 11. Just Non-Abelain Groups ; 12. Just Non-Hypercentral Groups and Just Non-Hypercentral Modules ; 13. Groups with Many Nilpotent Factor-Groups ; 14. Groups with Proper Periodic Factor-Groups 15. Just Non-(Polycyclic-by-Finite) Groups 16. Just Non-CC-Groups and Related Classes ; 17. Groups Whose Proper Factor-Groups Have a Transitive Normality Relation ; Bibliography ; Author Index ; Subject Index |
| Record Nr. | UNINA-9910784792903321 |
|
Kurdachenko L
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Groups with prescribed quotient groups and associated module theory / / L. Kurdachenko, J. Otal, I. Subbotin
| Groups with prescribed quotient groups and associated module theory / / L. Kurdachenko, J. Otal, I. Subbotin |
| Autore | Kurdachenko L |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 512/.2 |
| Altri autori (Persone) |
OtalJean-Pierre
SubbotinIgor Ya. <1950-> |
| Collana | Series in algebra |
| Soggetto topico |
Group theory
Modules (Algebra) |
| ISBN | 981-277-829-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Notation ; I Simple Modules ; 1. On Annihilators of Modules ; 2. The Structure of Simple Modules over Abelian Groups ; 3. The Structure of Simple Modules over Some Generalizations of Abelian Groups ; 4. Complements of Simple Submodules ; II Just Infinite Modules
5. Some Results on Modules over Dedekind Domains 6. Just Infinite Modules over FC-Hypercentral Groups ; 7. Just Infinite Modules over Groups of Finite 0-Rank ; 8. Just Infinite Modules over Polycyclic-by-Finite Groups ; 9. Co-Layer-Finite Modules over Dedekind Domains III Just Non-X-Groups 10. The Fitting Subgroup of Some Just Non-X-Groups ; 11. Just Non-Abelain Groups ; 12. Just Non-Hypercentral Groups and Just Non-Hypercentral Modules ; 13. Groups with Many Nilpotent Factor-Groups ; 14. Groups with Proper Periodic Factor-Groups 15. Just Non-(Polycyclic-by-Finite) Groups 16. Just Non-CC-Groups and Related Classes ; 17. Groups Whose Proper Factor-Groups Have a Transitive Normality Relation ; Bibliography ; Author Index ; Subject Index |
| Record Nr. | UNINA-9910819221003321 |
|
Kurdachenko L
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to essential algebraic structures / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
| An introduction to essential algebraic structures / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin |
| Autore | Dixon Martyn R (Martyn Russell), <1955-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (243 p.) |
| Disciplina | 511.3/3 |
| Soggetto topico | Ordered algebraic structures |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-49775-9
1-118-49776-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
An Introduction to Essential Algebraic Structures; Copyright; Contents; Preface; Chapter 1 Sets; 1.1 Operations on Sets; Exercise Set 1.1; 1.2 Set Mappings; Exercise Set 1.2; 1.3 Products of Mappings and Permutations; Exercise Set 1.3; 1.4 Operations on Matrices; Exercise Set 1.4; 1.5 Binary Algebraic Operations and Equivalence Relations; Exercise Set 1.5; Chapter 2 Numbers; 2.1 Some Properties of Integers: Mathematical Induction; Exercise Set 2.1; 2.2 Divisibility; Exercise Set 2.2; 2.3 Prime Factorization: The Fundamental Theorem of Arithmetic; Exercise Set 2.3
2.4 Rational Numbers, Irrational Numbers, and Real NumbersExercise Set 2.4; Chapter 3 Groups; 3.1 Groups and Subgroups; Exercise Set 3.1; 3.2 Cosets and Normal Subgroups; Exercise Set 3.2; 3.3 Factor Groups and Homomorphisms; Exercise Set 3.3; Chapter 4 Rings; 4.1 Rings, Subrings, Associative Rings; Exercise Set 4.1; 4.2 Rings of Polynomials; Exercise Set 4.2; 4.3 Ideals and Quotient Rings; Exercise Set 4.3; 4.4 Homomorphisms of Rings; Exercise Set 4.4; Chapter 5 Fields; 5.1 Fields: Basic Properties and Examples; Exercise Set 5.1; 5.2 Some Field Extensions; Exercise Set 5.2 5.3 Fields of Algebraic NumbersExercise Set 5.3; Hints and Answers to Selected Exercises; Chapter 1; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Index; End User License Agreement |
| Record Nr. | UNINA-9910460349503321 |
|
Dixon Martyn R (Martyn Russell), <1955->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to essential algebraic structures / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
| An introduction to essential algebraic structures / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin |
| Autore | Dixon Martyn R (Martyn Russell), <1955-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (243 p.) |
| Disciplina | 511.3/3 |
| Soggetto topico | Ordered algebraic structures |
| ISBN |
1-118-49775-9
1-118-49776-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
An Introduction to Essential Algebraic Structures; Copyright; Contents; Preface; Chapter 1 Sets; 1.1 Operations on Sets; Exercise Set 1.1; 1.2 Set Mappings; Exercise Set 1.2; 1.3 Products of Mappings and Permutations; Exercise Set 1.3; 1.4 Operations on Matrices; Exercise Set 1.4; 1.5 Binary Algebraic Operations and Equivalence Relations; Exercise Set 1.5; Chapter 2 Numbers; 2.1 Some Properties of Integers: Mathematical Induction; Exercise Set 2.1; 2.2 Divisibility; Exercise Set 2.2; 2.3 Prime Factorization: The Fundamental Theorem of Arithmetic; Exercise Set 2.3
2.4 Rational Numbers, Irrational Numbers, and Real NumbersExercise Set 2.4; Chapter 3 Groups; 3.1 Groups and Subgroups; Exercise Set 3.1; 3.2 Cosets and Normal Subgroups; Exercise Set 3.2; 3.3 Factor Groups and Homomorphisms; Exercise Set 3.3; Chapter 4 Rings; 4.1 Rings, Subrings, Associative Rings; Exercise Set 4.1; 4.2 Rings of Polynomials; Exercise Set 4.2; 4.3 Ideals and Quotient Rings; Exercise Set 4.3; 4.4 Homomorphisms of Rings; Exercise Set 4.4; Chapter 5 Fields; 5.1 Fields: Basic Properties and Examples; Exercise Set 5.1; 5.2 Some Field Extensions; Exercise Set 5.2 5.3 Fields of Algebraic NumbersExercise Set 5.3; Hints and Answers to Selected Exercises; Chapter 1; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Index; End User License Agreement |
| Record Nr. | UNINA-9910787126603321 |
|
Dixon Martyn R (Martyn Russell), <1955->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to essential algebraic structures / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
| An introduction to essential algebraic structures / / Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin |
| Autore | Dixon Martyn R (Martyn Russell), <1955-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (243 p.) |
| Disciplina | 511.3/3 |
| Soggetto topico | Ordered algebraic structures |
| ISBN |
1-118-49775-9
1-118-49776-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
An Introduction to Essential Algebraic Structures; Copyright; Contents; Preface; Chapter 1 Sets; 1.1 Operations on Sets; Exercise Set 1.1; 1.2 Set Mappings; Exercise Set 1.2; 1.3 Products of Mappings and Permutations; Exercise Set 1.3; 1.4 Operations on Matrices; Exercise Set 1.4; 1.5 Binary Algebraic Operations and Equivalence Relations; Exercise Set 1.5; Chapter 2 Numbers; 2.1 Some Properties of Integers: Mathematical Induction; Exercise Set 2.1; 2.2 Divisibility; Exercise Set 2.2; 2.3 Prime Factorization: The Fundamental Theorem of Arithmetic; Exercise Set 2.3
2.4 Rational Numbers, Irrational Numbers, and Real NumbersExercise Set 2.4; Chapter 3 Groups; 3.1 Groups and Subgroups; Exercise Set 3.1; 3.2 Cosets and Normal Subgroups; Exercise Set 3.2; 3.3 Factor Groups and Homomorphisms; Exercise Set 3.3; Chapter 4 Rings; 4.1 Rings, Subrings, Associative Rings; Exercise Set 4.1; 4.2 Rings of Polynomials; Exercise Set 4.2; 4.3 Ideals and Quotient Rings; Exercise Set 4.3; 4.4 Homomorphisms of Rings; Exercise Set 4.4; Chapter 5 Fields; 5.1 Fields: Basic Properties and Examples; Exercise Set 5.1; 5.2 Some Field Extensions; Exercise Set 5.2 5.3 Fields of Algebraic NumbersExercise Set 5.3; Hints and Answers to Selected Exercises; Chapter 1; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Index; End User License Agreement |
| Record Nr. | UNINA-9910807146303321 |
|
Dixon Martyn R (Martyn Russell), <1955->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||