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Faithfully quadratic rings / / M. Dickmann, F. Miraglia
| Faithfully quadratic rings / / M. Dickmann, F. Miraglia |
| Autore | Dickmann M. A. <1940-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (135 pages) |
| Disciplina | 512/.48 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Forms, Quadratic
Commutative rings |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2629-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480019603321 |
Dickmann M. A. <1940->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Faithfully quadratic rings / / M. Dickmann, F. Miraglia
| Faithfully quadratic rings / / M. Dickmann, F. Miraglia |
| Autore | Dickmann M. A. <1940-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (135 pages) |
| Disciplina | 512/.48 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Forms, Quadratic
Commutative rings |
| ISBN | 1-4704-2629-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic concepts -- Rings and special groups -- The notion of T-faithfully quadratic ring. Some basic consequences -- Idempotents, products and T-isometry -- First-order axioms for quadratic faithfulness -- Rings with many units -- Transversality of representation in p-rings with bounded inversion -- Reduced f-rings -- Strictly representable rings -- Quadratic form theory over faithfully quadratic rings. |
| Record Nr. | UNINA-9910798790603321 |
|
Dickmann M. A. <1940->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Faithfully quadratic rings / / M. Dickmann, F. Miraglia
| Faithfully quadratic rings / / M. Dickmann, F. Miraglia |
| Autore | Dickmann M. A. <1940-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (135 pages) |
| Disciplina | 512/.48 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Forms, Quadratic
Commutative rings |
| ISBN | 1-4704-2629-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic concepts -- Rings and special groups -- The notion of T-faithfully quadratic ring. Some basic consequences -- Idempotents, products and T-isometry -- First-order axioms for quadratic faithfulness -- Rings with many units -- Transversality of representation in p-rings with bounded inversion -- Reduced f-rings -- Strictly representable rings -- Quadratic form theory over faithfully quadratic rings. |
| Record Nr. | UNINA-9910828388603321 |
|
Dickmann M. A. <1940->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special groups : boolean-theoretic methods in the theory of quadratic forms / / M.A. Dickmann, F. Miraglia
| Special groups : boolean-theoretic methods in the theory of quadratic forms / / M.A. Dickmann, F. Miraglia |
| Autore | Dickmann M. A. <1940-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (271 p.) |
| Disciplina |
510 s
512/.71 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Forms, Quadratic
Algebra, Boolean |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0280-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Special Groups""; ""1. Special Groups and their Morphisms. Examples""; ""2. Characterizations of Special Groups""; ""3. Fields and Special Groups""; ""Chapter 2. Pfister Forms, Saturated Subgroups and Quotients""; ""1. Pfister Forms""; ""2. Saturated Subgroups""; ""3. Pfister quotients""; ""Chapter 3. The Space of Orders of a Reduced Group. Duality""; ""Chapter 4. Boolean Algebras and Reduced Special Groups""; ""1. Boolean Algebras as Reduced Special Groups""; ""2. The Boolean Hull of a Reduced Special Group""; ""Chapter 5. Embeddings""
""1. Complete Embeddings""""2. SG-morphisms with a retract""; ""3. Pure Embeddings""; ""4. Isotropy-Reflecting Morphisms""; ""Chapter 6. Special Groups of Continuous Functions""; ""1. Filtered Powers""; ""2. SG-filtered Powers""; ""3. Stalks and Germs""; ""4. The Space of Orders of a SG-filtered Power""; ""5. The Boolean Hull of SG-Filtered Powers""; ""Chapter 7. Horn-Tarski and Stiefel-Whitney Invariants""; ""1. The Horn-Tarski conditions""; ""2. Basic Properties""; ""3. Some applications""; ""4. The invariants of Pfister forms""; ""5. The invariants of linear combinations of Pfister forms"" ""Chapter 8. Algebraic K-theory of Fields and Special Groups""""1. Milnor's Algebraic K-theory""; ""2. Isometry and K-Theoretic Stiefel-Whitney Invariants""; ""Chapter 9. Marshall's Conjecture for Pythagorean Fields""; ""1. Introduction""; ""2. The inductive limit of graded rings of exponent two""; ""3. The isomorphisms k(F) â?? B(F) and W(G) â?? B[sub(G)]""; ""4. The equivalence of Marshall's conjecture to the weak Marshall conjecture for AV groups""; ""5. Marshall's conjecture for Pythagorean fields""; ""Chapter 10. The category of special groups""; ""1. Monics and Epics"" ""2. Free, injective and projective objects""""3. Products and Coproducts""; ""Chapter 11. Some Model Theory of Special Groups""; ""1. The first-order theory of fans""; ""2. Existentially closed special groups""; ""3. The model-completion of the theory of reduced special groups""; ""4. The atomless hull of a Boolean algebra""; ""5. The atomless hull of a reduced special group""; ""6. Quantifier Elimination""; ""Appendix A. The Universal Theory of Reduced Special Groups""; ""Appendix B. Table of References for [DM1] and [DM2]""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E"" ""F""""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910479997503321 |
|
Dickmann M. A. <1940->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special groups : boolean-theoretic methods in the theory of quadratic forms / / M.A. Dickmann, F. Miraglia
| Special groups : boolean-theoretic methods in the theory of quadratic forms / / M.A. Dickmann, F. Miraglia |
| Autore | Dickmann M. A. <1940-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (271 p.) |
| Disciplina |
510 s
512/.71 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Forms, Quadratic
Algebra, Boolean |
| ISBN | 1-4704-0280-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Special Groups""; ""1. Special Groups and their Morphisms. Examples""; ""2. Characterizations of Special Groups""; ""3. Fields and Special Groups""; ""Chapter 2. Pfister Forms, Saturated Subgroups and Quotients""; ""1. Pfister Forms""; ""2. Saturated Subgroups""; ""3. Pfister quotients""; ""Chapter 3. The Space of Orders of a Reduced Group. Duality""; ""Chapter 4. Boolean Algebras and Reduced Special Groups""; ""1. Boolean Algebras as Reduced Special Groups""; ""2. The Boolean Hull of a Reduced Special Group""; ""Chapter 5. Embeddings""
""1. Complete Embeddings""""2. SG-morphisms with a retract""; ""3. Pure Embeddings""; ""4. Isotropy-Reflecting Morphisms""; ""Chapter 6. Special Groups of Continuous Functions""; ""1. Filtered Powers""; ""2. SG-filtered Powers""; ""3. Stalks and Germs""; ""4. The Space of Orders of a SG-filtered Power""; ""5. The Boolean Hull of SG-Filtered Powers""; ""Chapter 7. Horn-Tarski and Stiefel-Whitney Invariants""; ""1. The Horn-Tarski conditions""; ""2. Basic Properties""; ""3. Some applications""; ""4. The invariants of Pfister forms""; ""5. The invariants of linear combinations of Pfister forms"" ""Chapter 8. Algebraic K-theory of Fields and Special Groups""""1. Milnor's Algebraic K-theory""; ""2. Isometry and K-Theoretic Stiefel-Whitney Invariants""; ""Chapter 9. Marshall's Conjecture for Pythagorean Fields""; ""1. Introduction""; ""2. The inductive limit of graded rings of exponent two""; ""3. The isomorphisms k(F) â?? B(F) and W(G) â?? B[sub(G)]""; ""4. The equivalence of Marshall's conjecture to the weak Marshall conjecture for AV groups""; ""5. Marshall's conjecture for Pythagorean fields""; ""Chapter 10. The category of special groups""; ""1. Monics and Epics"" ""2. Free, injective and projective objects""""3. Products and Coproducts""; ""Chapter 11. Some Model Theory of Special Groups""; ""1. The first-order theory of fans""; ""2. Existentially closed special groups""; ""3. The model-completion of the theory of reduced special groups""; ""4. The atomless hull of a Boolean algebra""; ""5. The atomless hull of a reduced special group""; ""6. Quantifier Elimination""; ""Appendix A. The Universal Theory of Reduced Special Groups""; ""Appendix B. Table of References for [DM1] and [DM2]""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E"" ""F""""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910788740403321 |
|
Dickmann M. A. <1940->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Special groups : boolean-theoretic methods in the theory of quadratic forms / / M.A. Dickmann, F. Miraglia
| Special groups : boolean-theoretic methods in the theory of quadratic forms / / M.A. Dickmann, F. Miraglia |
| Autore | Dickmann M. A. <1940-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (271 p.) |
| Disciplina |
510 s
512/.71 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Forms, Quadratic
Algebra, Boolean |
| ISBN | 1-4704-0280-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Special Groups""; ""1. Special Groups and their Morphisms. Examples""; ""2. Characterizations of Special Groups""; ""3. Fields and Special Groups""; ""Chapter 2. Pfister Forms, Saturated Subgroups and Quotients""; ""1. Pfister Forms""; ""2. Saturated Subgroups""; ""3. Pfister quotients""; ""Chapter 3. The Space of Orders of a Reduced Group. Duality""; ""Chapter 4. Boolean Algebras and Reduced Special Groups""; ""1. Boolean Algebras as Reduced Special Groups""; ""2. The Boolean Hull of a Reduced Special Group""; ""Chapter 5. Embeddings""
""1. Complete Embeddings""""2. SG-morphisms with a retract""; ""3. Pure Embeddings""; ""4. Isotropy-Reflecting Morphisms""; ""Chapter 6. Special Groups of Continuous Functions""; ""1. Filtered Powers""; ""2. SG-filtered Powers""; ""3. Stalks and Germs""; ""4. The Space of Orders of a SG-filtered Power""; ""5. The Boolean Hull of SG-Filtered Powers""; ""Chapter 7. Horn-Tarski and Stiefel-Whitney Invariants""; ""1. The Horn-Tarski conditions""; ""2. Basic Properties""; ""3. Some applications""; ""4. The invariants of Pfister forms""; ""5. The invariants of linear combinations of Pfister forms"" ""Chapter 8. Algebraic K-theory of Fields and Special Groups""""1. Milnor's Algebraic K-theory""; ""2. Isometry and K-Theoretic Stiefel-Whitney Invariants""; ""Chapter 9. Marshall's Conjecture for Pythagorean Fields""; ""1. Introduction""; ""2. The inductive limit of graded rings of exponent two""; ""3. The isomorphisms k(F) â?? B(F) and W(G) â?? B[sub(G)]""; ""4. The equivalence of Marshall's conjecture to the weak Marshall conjecture for AV groups""; ""5. Marshall's conjecture for Pythagorean fields""; ""Chapter 10. The category of special groups""; ""1. Monics and Epics"" ""2. Free, injective and projective objects""""3. Products and Coproducts""; ""Chapter 11. Some Model Theory of Special Groups""; ""1. The first-order theory of fans""; ""2. Existentially closed special groups""; ""3. The model-completion of the theory of reduced special groups""; ""4. The atomless hull of a Boolean algebra""; ""5. The atomless hull of a reduced special group""; ""6. Quantifier Elimination""; ""Appendix A. The Universal Theory of Reduced Special Groups""; ""Appendix B. Table of References for [DM1] and [DM2]""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E"" ""F""""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910807392803321 |
|
Dickmann M. A. <1940->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||