04254nam 2200601 450 991078874040332120170816143238.01-4704-0280-7(CKB)3360000000464873(EBL)3114562(SSID)ssj0000973917(PQKBManifestationID)11594962(PQKBTitleCode)TC0000973917(PQKBWorkID)10989010(PQKB)11638891(MiAaPQ)EBC3114562(RPAM)11882736(PPN)195415744(EXLCZ)99336000000046487320000106d2000 uy| 0engur|n|---|||||txtccrSpecial groups boolean-theoretic methods in the theory of quadratic forms /M.A. Dickmann, F. MiragliaProvidence, Rhode Island :American Mathematical Society,2000.1 online resource (271 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 689"May 2000, volume 145, number 689 (second of 4 numbers)."0-8218-2057-5 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;no. 689.Forms, QuadraticAlgebra, BooleanForms, Quadratic.Algebra, Boolean.510 s512/.71Dickmann M. A.1940-1567032Miraglia FranciscoMiAaPQMiAaPQMiAaPQBOOK9910788740403321Special groups3838105UNINA