LEADER 02597nam 2200589 450 001 996466596303316 005 20220910212111.0 010 $a3-540-69996-1 024 7 $a10.1007/BFb0092696 035 $a(CKB)1000000000437376 035 $a(SSID)ssj0000326774 035 $a(PQKBManifestationID)12089418 035 $a(PQKBTitleCode)TC0000326774 035 $a(PQKBWorkID)10297798 035 $a(PQKB)10150845 035 $a(DE-He213)978-3-540-69996-5 035 $a(MiAaPQ)EBC5596336 035 $a(Au-PeEL)EBL5596336 035 $a(OCoLC)1076257207 035 $a(MiAaPQ)EBC6842375 035 $a(Au-PeEL)EBL6842375 035 $a(OCoLC)1292353941 035 $a(PPN)155181505 035 $a(EXLCZ)991000000000437376 100 $a20220910d1996 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpaces of orderings and abstract real spectra /$fMurray Marshall 205 $a1st ed. 1996. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1996] 210 4$dİ1996 215 $a1 online resource (VI, 198 p.) 225 1 $aLecture Notes in Mathematics ;$v1636 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-61729-9 327 $aOrderings on fields -- Spaces of orderings -- Fans and the representation theorem -- P-structures, connected components and 0 the isotropy theorem -- The real spectrum of a ring -- Abstract real spectra -- Minimal generation of constructible sets -- Structure results and realization results. 330 $aThis book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commutative rings. This is explained as is the important application to minimal generation of semi-algebraic sets. Many results in the new theory of abstract real spectra (also called spaces of signs) appear here for the first time. The reader needs elementary knowledge of commutative rings, ordered fields and real closed fields and valuations. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1636. 606 $aForms, Quadratic 615 0$aForms, Quadratic. 676 $a512.74 700 $aMarshall$b Murray$059709 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466596303316 996 $aSpaces of orderings and abstract real spectra$978833 997 $aUNISA