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181   $ctxt
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183   $acr
200 10$aSpecial groups $eboolean-theoretic methods in the theory of quadratic forms /$fM.A. Dickmann, F. Miraglia
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2000.
215   $a1 online resource (271 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 689
300   $a"May 2000, volume 145, number 689 (second of 4 numbers)."
311   $a0-8218-2057-5 
320   $aIncludes bibliographical references and index.
327   $a""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""
327   $a""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""
327   $a""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) a??? B(F) and W(G) a??? 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""
327   $a""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""
327   $a""F""""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""
410  0$aMemoirs of the American Mathematical Society ;$vno. 689.
606   $aForms, Quadratic
606   $aAlgebra, Boolean
615  0$aForms, Quadratic.
615  0$aAlgebra, Boolean.
676   $a510 s
676   $a512/.71
700   $aDickmann$b M. A.$f1940-$01567032
702   $aMiraglia$b Francisco
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788740403321
996   $aSpecial groups$93838105
997   $aUNINA