[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-964664","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Alg\u00e8bre commutative\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          6\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n          Semestre 2\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ECours magistraux :\u003C\/span\u003E\n                                      \u003Cspan\u003E24\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                              \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ETravaux dirig\u00e9s :\u003C\/span\u003E\n                                      \u003Cspan\u003E24\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                            \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EFran\u00e7ais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EAlg\u00e8bre de Licence (groupes, anneaux, corps, polyn\u00f4mes et congruences), cours de th\u00e9orie des nombres et cryptographie.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cul\u003E\n\u003Cli\u003EAnneaux noeth\u00e9riens, th\u00e9or\u00e8me de la base de Hilbert.\u003C\/li\u003E\n\u003Cli\u003ETopologie de Zariski de k^n.\u003C\/li\u003E\n\u003Cli\u003ECorrespondance entre id\u00e9aux et ferm\u00e9s alg\u00e9briques.\u003C\/li\u003E\n\u003Cli\u003EAnneaux de fractions, localisation.\u003C\/li\u003E\n\u003Cli\u003EExtensions enti\u00e8res : going up et going down.\u003C\/li\u003E\n\u003Cli\u003ELemme de normalisation, degr\u00e9 de transcendance, dimension.\u003C\/li\u003E\n\u003Cli\u003ENullstellensatz\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EL\u2019objectif de ce cours est de permettre aux \u00e9tudiants d\u2019aborder sereinement la g\u00e9om\u00e9trie alg\u00e9brique et l\u2019alg\u00e8bre effective. Le cours est tourn\u00e9 vers l\u2019\u00e9tude des anneaux de polyn\u00f4mes. On cherche constamment \u00e0 interpr\u00e9ter g\u00e9om\u00e9triquement les th\u00e9or\u00e8mes d\u2019alg\u00e8bre abstraite : lemme de normalisation vs. projection sur un espace vectoriel, Nullstellensatz vs. recherche de l\u2019id\u00e9al d\u2019un ferm\u00e9 alg\u00e9brique. Interpr\u00e9tation g\u00e9om\u00e9trique de la dimension de Krull.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                                \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EAtiyah et Mac Donald, An introduction to commutative algebra, Addison-Wesley, 1969.\nChambert-Loir Alg\u00e8bre commutative et introduction ) la g\u00e9om\u00e9trie alg\u00e9brique\nhttp:\/\/www.math.u-psud.fr\/ chambert\/enseignement\/2013-14\/aceiga\/Dea.pdf\nCox, Little et O\u2019Shea, Ideal, varieties and algorithms, Springer, 1991.\nMatsumura, Hideyuki Commutative ring theory. Cambridge University Press, 1986.\nC. Peskine An algebraic introduction to complex projective geometry, I. Commutative algebra, Cambridge University Press, 1996.\nD. Perrin, Cours d\u2019alg\u00e8bre, Ellipses, 1996.\nSamuel et Zariski, Commutative algebra, 2 volumes, Springer.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]