{"ModuleCode":"MA5204","ModuleTitle":"Graduate Algebra IIA","Department":"Mathematics","ModuleDescription":"This module is a basic introduction to commutative and homological algebra. It covers the following topics: prime spectrum of a commutative ring, exact sequences, projective, injective and flat modules, Ext and Tor, integral ring extensions, Noether’s normalization and Hilbert’s Nullstellensatz, Noetherian and Artinian rings and moduels, dimension theory, Dedekind domains and discrete valuation ring.","ModuleCredit":"4","Workload":"3-0-0-0-7","Prerequisite":"MA5203 or departmental approval","ExamDate":"2015-04-27T09:00+0800","ExamDuration":"P2H30M","ExamVenue":"S17-05-12","Types":["Module"],"Lecturers":["Chin Chee Whye"],"IVLE":[{"Announcements":null,"Forums":[],"Workbins":[],"Webcasts":[],"Gradebooks":[],"Polls":[],"Multimedia":[],"LessonPlan":[],"ID":"c6d07267-2972-4e5e-8d21-7c1702bbc6ad","CourseLevel":"1","CourseCode":"MA5204","CourseName":"GRADUATE ALGEBRA II-A","CourseDepartment":"","CourseSemester":"Semester 2","CourseAcadYear":"2014/2015","CourseOpenDate":"/Date(1415289600000+0800)/","CourseOpenDate_js":"2014-11-07T00:00:00","CourseCloseDate":"/Date(1431187140000+0800)/","CourseCloseDate_js":"2015-05-09T23:59:00","CourseMC":"0","isActive":"N","Permission":"S","Creator":{"UserID":null,"Name":"Chin Chee Whye","Email":null,"Title":null,"UserGuid":"232e81e3-5cf5-41af-969a-aa6acb735a31","AccountType":null},"hasGradebookItems":false,"hasTimetableItems":true,"hasGroupsItems":false,"hasClassGroupsForSignUp":false,"hasGuestRosterItems":true,"hasClassRosterItems":true,"hasWeblinkItems":false,"hasLecturerItems":true,"hasDescriptionItems":true,"hasReadingItems":false,"hasAnnouncementItems":false,"hasProjectGroupItems":false,"hasProjectGroupsForSignUp":false,"hasConsultationItems":false,"hasConsultationSlotsForSignUp":false,"hasLessonPlanItems":false,"Badge":0,"BadgeAnnouncement":0,"WebLinks":[],"Lecturers":[{"ID":"3c88814f-fa89-4016-8318-a2dbb4dc334e","User":{"UserID":null,"Name":"Chin Chee Whye","Email":null,"Title":null,"UserGuid":"232e81e3-5cf5-41af-969a-aa6acb735a31","AccountType":null},"Role":"Lecturer ","Order":1,"ConsultHrs":null}],"Descriptions":[{"ID":"1e5f053b-8835-4692-be49-41f07234cfff","Title":"Learning Outcomes","Description":"The aim of this course is to provide a foundational introduction to the theory of commutative algebras and their modules. The course will provide a conceptual treatment of the key topics in this theory, with a view towards applications in number theory and algebraic geometry.","Order":1},{"ID":"6e5f053b-8835-4692-be49-41f07234cfff","Title":"Syllabus","Description":"Below are the topics I plan to discuss in the lectures, at the rate of approximately one topic per week.
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\n\tStudents who are better prepared will stand to benefit more from taking this course.
\n","Order":3},{"ID":"7528ae9e-e22d-42d2-a235-b66ab235ee6f","Title":"Texts and References","Description":"The material for the course is classical. The main textbook for the course is: \n\n\tAnother reference text, especially for the later part of the course, is:
\n\n\tAn alternative reference, containing a more advanced treatment of the subject, is:
\n\n\tThe lectures will largely follow the presentation in the text by Atiyah and MacDonald, supplemented by notes which will be issued from time to time. Students are encouraged to consult the relevant chapters of the above references, as well as online materials on the internet, to further their understanding of the subject.
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