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Math 9141B: Commutative Algebra Winter 2014

Please check this page regularly for updates and announcements.

The first class is on Monday, January 6, 2014, and will be a regular class.

Section 1
Instructor: Nicole Lemire
Office: Middlesex 103C
Phone: 519-661-2111 x86533
E-mail: nlemire at uwo dot ca
Office Hours: By appointment
Class times: MWF 11:30-12:30 pm
Class location: MC 108
 
Text:
No required text. The following will be references:
Dummit and Foote: Abstract Algebra, Third Edition
Atiyah and Macdonald: Commutative Algebra
Eisenbud: Commutative Algebra: with a View Toward Algebraic Geometry
Prerequisites: Math 4123/9023A/B or equivalent.

Course outline:

Tensor products, Localisation, Primary Decomposition, Integral Dependence and Valuations, Chain Conditions, Noetherian and Artin rings, Discrete Valuation Rings and Dedekind Domains, Completions, Dimension Theory plus additional topics if time permits

Evaluation of Student Performance:

Assignments: 60%
Participation:  10%
Presentation + Written report: 30%

There will be 5 or 6 assignments. They are due at the beginning of class. Click here for a list of exercises and the procedures for handing in homework. The lowest (or missing) assignment grade will be dropped when computing the course grade.

The assignments are to be thought of as take-home exams and should be done entirely on your own. All those involved in copying will receive a negative grade on the assignment in question. In addition, all academic offenses will be reported to the Dean's office, and may result in further penalties. Regarding Scholastic Offences and Penalties, see pp. 23-26 of the Academic Calendar or refer to Scholastic Discipline.

Please check the exercises page and the course web page regularly for announcements and other information.

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