《抽象代数讲义 第3卷》PDF下载

  • 购买积分:12 如何计算积分?
  • 作  者:(德)雅格布斯著
  • 出 版 社:北京/西安:世界图书出版公司
  • 出版年份:2013
  • ISBN:7510061530
  • 页数:324 页
图书介绍:presentVrolumecompletestheseriesoftextsonalgebrawhichtheauthorbeganmorethantenyearsago.TheaccountoffieldtheoryandGaloistheorywhichwegirrehereisbasedonthenotionsandresultsofgeneralalgebrawhichappearinourfirstvolumeandonthemoreelementarypartsofthesecondvolume,dealingwithlinearalgebra.Thelevelofthepresentwork.isroughlythesameasthatofVolumeII.目录INTRODUCTIONSECTION1.Extensionofhomomorphisms2.Algebras3.Tensorproductsofvectorspaces4.TensorproductofalgebrasCHAPTERIFINITEDIMENSIONALEXTENSIONFIELDS1Somevectorspacesassociatedwithmappingsoffields2.TheJacobson-Bourbakicorrespondence3.Dedekindindependencetheoremforisomorphismsofafield4.Finitegroupsofautomorphisms.5.Splittingfieldofapolynomial6.Multipleroots.Separablepolynomials7.The"fundamentaltheorem"ofGaloistheoryINTRODUCTIONSECTION1.Extensionofhomomorphisms2.Algebras3.Tensorproductsofvectorspaces4.TensorproductofalgebrasCHAPTERIFINITEDIMENSIONALEXTENSIONFIELDS1Somevectorspacesassociatedwithmappingsoffields2.TheJacobson-Bourbakicorrespondence3.Dedekindindependencetheoremforisomorphismsofafield4.Finitegroupsofautomorphisms.5.Splittingfieldofapolynomial6.Multipleroots.Separablepolynomials7.The"fundamentaltheorem"ofGaloistheory8.Normalextensions.Normalclosures9.Structureofalgebraicextensions.Separability10.Degreesofseparabilityandinseparability.Structureofnormalextensions11.Primitiveelements12.Normalbases13.Finitefields14.Regularrepresentation

暂无PDF目录预览