02182cam  2200385 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000230016708200160019010000320020624501340023826400700037230000530044233600260049533700280052133800270054949000740057650400570065050505710070750600500127853300950132853800360142358800470145965000370150665000230154365000200156677601180158685600440170485600480174819395209RPAM20170613150221.0ma     b    000 0 cr/|||||||||||170613s2017    riua    ob    000 0 eng    a9781470436414 (online)  aDLCbengcDLCerdadDLCdRPAM00aQA242.5b.H36 201700a516.3/52231 aHaran, M. J. Shai,eauthor.10aNew foundations for geometry :h[electronic resource] btwo non-additive languages for arithemtical geometry /cM. J. Shai Haran. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c2017.  a1 online resource (x, 200 pages : illustrations)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1166  aIncludes bibliographical references (pages 199-200).00tIntroductiontChapter 1. Definition of $\mathbb F$-$\mathcal R$ingstAppendix A.tAppendix B. Examples of $\mathbb F$-$\mathcal R$ingstAppendix A. Proof of Ostrowski's theoremtAppendix B. GeometrytAppendix C. Symmetric GeometrytAppendix D. Pro - limitstAppendix E. Vector bundlestAppendix F. ModulestAppendix G. Generalized RingstAppendix H. IdealstAppendix I. Primes and SpectratAppendix J. Localization and sheavestAppendix K. SchemestAppendix L. ProductstAppendix M. Modules and differentialstAppendix A. Beta integrals and the local factors of zeta1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2017  aMode of access : World Wide Web  aDescription based on print version record. 0aArithmetical algebraic geometry. 0aCommutative rings. 0aRings (Algebra)0 iPrint version: aHaran, M. J. Shai,tNew foundations for geometry :w(DLC)   2016055232x0065-9266z97814704231244 3Contentsuhttp://www.ams.org/memo/1166/4 3Contentsuhttps://doi.org/10.1090/memo/1166