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[null,"1.","Record Nr.",null,"UNINA9910828111903321"]
[null,null,"Autore",null,"Casals-Ruiz Montserrat"]
[null,null,"Titolo",null,"On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2010"]
[{"$nulls":4},"©2010"]
[null,null,"ISBN",null,"1-4704-0616-0"]
[null,null,"Descrizione fisica",null,"1 online resource (153 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 212, Number 999"]
[null,null,"Disciplina",null,"512.25"]
[null,null,"Soggetti",null,"Equations, Abelian"]
[{"$nulls":4},"Abelian groups"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","'Volume 212, Number 999 (end of volume).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"3.2. Reduction to generalised equations: from partially commutative groups to monoids\"\"\"\"3.3. Reduction to generalised equations: from partially commutative monoids to free monoids\"\"; \"\"3.4. Example\"\"; \"\"Chapter 4. The process: construction of the tree T\"\"; \"\"4.1. Preliminary definitions\"\"; \"\"4.2. Elementary transformations\"\"; \"\"4.3. Derived transformations\"\"; \"\"4.4. Construction of the tree T()\"\"; \"\"Chapter 5. Minimal solutions\"\"; \"\"Chapter 6. Periodic structures\"\"; \"\"6.1. Periodic structures\"\"; \"\"6.2. Example\"\"; \"\"6.3. Strongly singular and singular cases\"\"; \"\"6.4. Example\"\""]
[{"$nulls":4},"\"\"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\"\"; "]
[{"$nulls":4},"\"\"9.1. Example\"\"; \"\"Bibliography\"\"; \"\"Index\"\"; \"\"Glossary of notation\"\""]