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On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov
| On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov |
| Autore | Casals-Ruiz Montserrat |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina | 512.25 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Equations, Abelian
Abelian groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0616-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries""; ""2.1. Graphs and relations""; ""2.2. Elements of algebraic geometry over groups""; ""2.3. Formulas in the languages LA and LG""; ""2.4. First order logic and algebraic geometry""; ""2.5. Partially commutative groups""; ""2.6. Partially commutative monoids and DM-normal forms""; ""Chapter 3. Reducing systems of equations over G to constrained generalised equations over F""; ""3.1. Definition of (constrained) generalised equations""
""3.2. Reduction to generalised equations: from partially commutative groups to monoids""""3.3. Reduction to generalised equations: from partially commutative monoids to free monoids""; ""3.4. Example""; ""Chapter 4. The process: construction of the tree T""; ""4.1. Preliminary definitions""; ""4.2. Elementary transformations""; ""4.3. Derived transformations""; ""4.4. Construction of the tree T()""; ""Chapter 5. Minimal solutions""; ""Chapter 6. Periodic structures""; ""6.1. Periodic structures""; ""6.2. Example""; ""6.3. Strongly singular and singular cases""; ""6.4. Example"" ""6.5. Regular case""""Chapter 7. The finite tree T0() and minimal solutions""; ""7.1. Automorphisms""; ""7.2. The finite subtree T0()""; ""7.3. Paths p(H) are in T0()""; ""Chapter 8. From the coordinate group GR(*) to proper quotients: the decomposition tree Tdec and the extension tree Text""; ""8.1. The decomposition tree Tdec()""; ""8.2. Example""; ""8.3. The extension tree Text()""; ""Chapter 9. The solution tree T`39`42`""613A``45`47`""603Asol() and the main theorem""; ""9.1. Example""; ""Bibliography""; ""Index""; ""Glossary of notation"" |
| Record Nr. | UNINA-9910480513603321 |
Casals-Ruiz Montserrat
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov
| On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov |
| Autore | Casals-Ruiz Montserrat |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina | 512.25 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Equations, Abelian
Abelian groups |
| ISBN | 1-4704-0616-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries""; ""2.1. Graphs and relations""; ""2.2. Elements of algebraic geometry over groups""; ""2.3. Formulas in the languages LA and LG""; ""2.4. First order logic and algebraic geometry""; ""2.5. Partially commutative groups""; ""2.6. Partially commutative monoids and DM-normal forms""; ""Chapter 3. Reducing systems of equations over G to constrained generalised equations over F""; ""3.1. Definition of (constrained) generalised equations""
""3.2. Reduction to generalised equations: from partially commutative groups to monoids""""3.3. Reduction to generalised equations: from partially commutative monoids to free monoids""; ""3.4. Example""; ""Chapter 4. The process: construction of the tree T""; ""4.1. Preliminary definitions""; ""4.2. Elementary transformations""; ""4.3. Derived transformations""; ""4.4. Construction of the tree T()""; ""Chapter 5. Minimal solutions""; ""Chapter 6. Periodic structures""; ""6.1. Periodic structures""; ""6.2. Example""; ""6.3. Strongly singular and singular cases""; ""6.4. Example"" ""6.5. Regular case""""Chapter 7. The finite tree T0() and minimal solutions""; ""7.1. Automorphisms""; ""7.2. The finite subtree T0()""; ""7.3. Paths p(H) are in T0()""; ""Chapter 8. From the coordinate group GR(*) to proper quotients: the decomposition tree Tdec and the extension tree Text""; ""8.1. The decomposition tree Tdec()""; ""8.2. Example""; ""8.3. The extension tree Text()""; ""Chapter 9. The solution tree T`39`42`""613A``45`47`""603Asol() and the main theorem""; ""9.1. Example""; ""Bibliography""; ""Index""; ""Glossary of notation"" |
| Record Nr. | UNINA-9910788866303321 |
|
Casals-Ruiz Montserrat
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov
| On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov |
| Autore | Casals-Ruiz Montserrat |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina | 512.25 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Equations, Abelian
Abelian groups |
| ISBN | 1-4704-0616-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries""; ""2.1. Graphs and relations""; ""2.2. Elements of algebraic geometry over groups""; ""2.3. Formulas in the languages LA and LG""; ""2.4. First order logic and algebraic geometry""; ""2.5. Partially commutative groups""; ""2.6. Partially commutative monoids and DM-normal forms""; ""Chapter 3. Reducing systems of equations over G to constrained generalised equations over F""; ""3.1. Definition of (constrained) generalised equations""
""3.2. Reduction to generalised equations: from partially commutative groups to monoids""""3.3. Reduction to generalised equations: from partially commutative monoids to free monoids""; ""3.4. Example""; ""Chapter 4. The process: construction of the tree T""; ""4.1. Preliminary definitions""; ""4.2. Elementary transformations""; ""4.3. Derived transformations""; ""4.4. Construction of the tree T()""; ""Chapter 5. Minimal solutions""; ""Chapter 6. Periodic structures""; ""6.1. Periodic structures""; ""6.2. Example""; ""6.3. Strongly singular and singular cases""; ""6.4. Example"" ""6.5. Regular case""""Chapter 7. The finite tree T0() and minimal solutions""; ""7.1. Automorphisms""; ""7.2. The finite subtree T0()""; ""7.3. Paths p(H) are in T0()""; ""Chapter 8. From the coordinate group GR(*) to proper quotients: the decomposition tree Tdec and the extension tree Text""; ""8.1. The decomposition tree Tdec()""; ""8.2. Example""; ""8.3. The extension tree Text()""; ""Chapter 9. The solution tree T`39`42`""613A``45`47`""603Asol() and the main theorem""; ""9.1. Example""; ""Bibliography""; ""Index""; ""Glossary of notation"" |
| Record Nr. | UNINA-9910828111903321 |
|
Casals-Ruiz Montserrat
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||